Drs. MOHAMAD MUSLIKH , M.Si. (original) (raw)

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Papers by Drs. MOHAMAD MUSLIKH , M.Si.

Research paper thumbnail of Basic theorems of N-integral of set valued functions

AIP Conference Proceedings, Dec 31, 2022

Research paper thumbnail of Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type

CAUCHY: Jurnal Matematika Murni dan Aplikasi, 2021

In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplac... more In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.

Research paper thumbnail of Chapter 1: On Fixed Point for Derivative of Set-Valued Functions

Fixed Point Theory and Chaos [Working Title]

In this article, we showed the existence of a fixed point for the derivative of interval-valued f... more In this article, we showed the existence of a fixed point for the derivative of interval-valued functions. The investigation of the existence of such fixed points utilizes the common fixed point concepts for two mappings. Under the condition of compatibility of the hybrid composite mappings in the sense of the Pompei-Hausdorff metric the existence of a fixed point for the derivative is shown. Some examples to support the usability of the result of this study are also given.

Research paper thumbnail of Teknik ruang Hilbert untuk masalah minimisasi di dalam ruang dimensi dua

Mencari fungsi interpolasi yang nilainya diketahui pada batas suatu domain dan di sebanyak hingga... more Mencari fungsi interpolasi yang nilainya diketahui pada batas suatu domain dan di sebanyak hingga titik internal domain tersebut serta meminimumkan suatu fungsional adalah masalah yang sering dihadapi oleh para scientist. masalah ini tidak hanya dijumpai di bidang matematika,tetapi juga di bidang-bidang biologi, fisika, kimia dan teknik. matematikawan biasanya tertarik kepada existensi dan ketunggalan penyelesaian. jika hal ini dapat dijamin, mengkonstuksi penyelesaian secara analitik dan terutama merancang skema penyelesaian numerik adalah tantangan berikutnya.teknik (technique) ruang Hilbert dapat digunakan untuk menjawab problem eksistensi dan ketunggalan penyelesaian dan syarat-syarat apa yang merupakan syarat perlu dan cukup dengan mengkonstruksi ruang Hilbert dari fungsi-fungsi licin yang didefinisikan pada persegi panjang satuan yang memenuhi syarat batas yang diberikan. keberadaan fungsi interpolan juga dapat ditunjukkan dengan mengkonstruksi fungsi tersebut di ruang fungsi ...

Research paper thumbnail of Integral fungsi bernilai himpunan pada ruang banach non-separable

Lembaga Penelitian dan Pengabdian Masyarakat-Universitas Brawijaya, Nov 18, 2011

Integral Fun& Bemila Himpunan Pada h a n g Banach nan-separable

Research paper thumbnail of Fixed point for derivative and differentiation of single-valued and set-valued functions on metric spaces

Research paper thumbnail of Perbandingan Akurasi Backpropagation Neural Network dan ANFIS Untuk Memprediksi Cuaca

Cuaca merupakan suatu kondisi udara di suatu tempat pada waktu yang relatif singkat, yang dipenga... more Cuaca merupakan suatu kondisi udara di suatu tempat pada waktu yang relatif singkat, yang dipengaruhi oleh berbagai fenomena atmosfer. Informasi mengenai kondisi atmosfer yang cepat, akurat, dan terperinci sangat diperlukan oleh berbagai sektor. Backpropagation Neural Network (BPNN) dan Adaptive Neuro Fuzzy Inference System (ANFIS) adalah metode yang sering digunakan untuk melakukan prediksi dengan kemampuannya untuk melakukan pembelajaran dari informasi yang ada. Dengan kelebihan yang dimiliki oleh kedua metode ini, pada penelitian ini dilakukan implementasi kedua metode ini untuk mengetahui perbandingan akurasi dari kedua metode tersebut dalam melakukan prediksi cuaca berdasarkan parameter-parameter atmosfir yang mempengaruhi. Pada penelitian ini, metode BPNN diimplementasikan dengan menggunakan tiga layer dan dilakukan penambahan aturan pada penentuan kelas output jaringan, sedangkan ANFIS diimplementasi dengan struktur standar ANFIS yaitu lima layer . Pada BPNN dimungkinkan unt...

Research paper thumbnail of The Properties of Intuitionistic Anti Fuzzy Module t-norm and t-conorm

CAUCHY, 2022

Zadeh have introduced fuzzy set in 1965 and Atanassov have introduced intuitionistic fuzzy set in... more Zadeh have introduced fuzzy set in 1965 and Atanassov have introduced intuitionistic fuzzy set in 1986 in theirs paper. Now, many of researcher connecting intuitionistic fuzzy set with algebraic structure. We interested to combine some concepts over intuitionistic fuzzy set, module of a ring, t-norm, t-conorm, and intuitionistic anti fuzzy. In this paper, we discusses about intuitionistic anti fuzzy module t-norm and t-conorm (IAFMTC) and their properties with respect to module homomorphism, maps, pre-image, and anti-image from intuitionistic fuzzy sets. We have investigate all properties of IAFMTC.

Research paper thumbnail of On the differentiability of metric space valued functions

Research paper thumbnail of Eksistensi Selektor Terukur Pada Fungsi Bernilai Himpunan DI Dalam Ruang Banach Tak Separabel

Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP), Jun 29, 2012

In the Kuratowski-Ryll Nardzewski theorem, measurable selector of the setvalued functions exist i... more In the Kuratowski-Ryll Nardzewski theorem, measurable selector of the setvalued functions exist if the value of set-valued function is a subset of a separable Banach spaces. In this article show that the set-valued function has a measurable selector in non separable Banach spaces.

Research paper thumbnail of Application of a Fixed Point of Derivative Function

Current Topics on Mathematics and Computer Science Vol. 3, 2021

In \(\mathbb{R}\), the Brouwer’s fixed point theorem states that for any continuous functions \(\... more In \(\mathbb{R}\), the Brouwer’s fixed point theorem states that for any continuous functions \(\mathit{f}\) : [0,1] \(\rightarrow\) [0,1] has a fixed point. There is observing the nature of its functions, the domain of the function, or a support function. In this article, we show that the derivative function on [0,1] into itself has a fixed point even though the derivative function does not necessarily continuous.

Research paper thumbnail of Caristi and Banach Fixed Point Theorem on Partial Metric Space

Far East Journal of Mathematical Sciences, 2015

In this article are shown Caristi and Banach fixed point theorem type in the partial metric space... more In this article are shown Caristi and Banach fixed point theorem type in the partial metric space. Both will be proven by using Ekeland’s variational principle in partial metric space which also introduced in this article.

Research paper thumbnail of Solusi Regularitas Persamaan Diferensial Parsial Eliptik Linier Orde Dua

Dalam paper ini akan dipelajari solusi regularitas dari persamaan diferensial parsial eliptik lin... more Dalam paper ini akan dipelajari solusi regularitas dari persamaan diferensial parsial eliptik linier orde dua. Pertama akan ditunjukkan keeksisan dan ketunggalan solusi lemah dari model di ruang Hilbert. Selanjutnya akan dibangun persamaan homogen yang terkait untuk mempelajari sifat ketaksamaan Harnack dan estimasi De Giorgi-Nash-Moser. Terakhir, dengan menggunakan sifat tersebut dan karakterisasi Campanato akan ditunjukkan solusi regularitas dari model.

Research paper thumbnail of Partial Metric on Space of Subsets

This article introduced the concept of the Hausdroff partial metric. By using the Hausdorff parti... more This article introduced the concept of the Hausdroff partial metric. By using the Hausdorff partial metric we study the fixed point theory for set-valued mappings on partial metric spaces. Fixed point theorem that has been resulting by Nadler for set-valued mapping will be extended to partial metric spaces and the proof using Ekeland variational principle.

Research paper thumbnail of On common fixed point of a function and its derivative

In this article, we present a common fixed point of a function with its derivative function. The ... more In this article, we present a common fixed point of a function with its derivative function. The existence of common fixed point is shown through a pair of commutative, weakly commutative, and compatible mapping. This result is relatively new for the pair raised was between functions with their derivatives.

Research paper thumbnail of Common Fixed-Point Theorems of Caristi-Type Mappings by Using its Absolute Derivative

Applied Mathematics & Information Sciences, 2019

Research paper thumbnail of Caristi-type fixed point theorem of set-valued maps in metric spaces

International Journal of Mathematical Analysis, 2017

Research paper thumbnail of muslikhIJMA29-32-2013 (1)

Research paper thumbnail of Existence of a Continuous Caristi Selection of Set-Valued Mappings

Research paper thumbnail of The Henstock-Kurzweil integral of set-valued function

International Journal of Mathematical Analysis, 2014

Research paper thumbnail of Basic theorems of N-integral of set valued functions

AIP Conference Proceedings, Dec 31, 2022

Research paper thumbnail of Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type

CAUCHY: Jurnal Matematika Murni dan Aplikasi, 2021

In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplac... more In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.

Research paper thumbnail of Chapter 1: On Fixed Point for Derivative of Set-Valued Functions

Fixed Point Theory and Chaos [Working Title]

In this article, we showed the existence of a fixed point for the derivative of interval-valued f... more In this article, we showed the existence of a fixed point for the derivative of interval-valued functions. The investigation of the existence of such fixed points utilizes the common fixed point concepts for two mappings. Under the condition of compatibility of the hybrid composite mappings in the sense of the Pompei-Hausdorff metric the existence of a fixed point for the derivative is shown. Some examples to support the usability of the result of this study are also given.

Research paper thumbnail of Teknik ruang Hilbert untuk masalah minimisasi di dalam ruang dimensi dua

Mencari fungsi interpolasi yang nilainya diketahui pada batas suatu domain dan di sebanyak hingga... more Mencari fungsi interpolasi yang nilainya diketahui pada batas suatu domain dan di sebanyak hingga titik internal domain tersebut serta meminimumkan suatu fungsional adalah masalah yang sering dihadapi oleh para scientist. masalah ini tidak hanya dijumpai di bidang matematika,tetapi juga di bidang-bidang biologi, fisika, kimia dan teknik. matematikawan biasanya tertarik kepada existensi dan ketunggalan penyelesaian. jika hal ini dapat dijamin, mengkonstuksi penyelesaian secara analitik dan terutama merancang skema penyelesaian numerik adalah tantangan berikutnya.teknik (technique) ruang Hilbert dapat digunakan untuk menjawab problem eksistensi dan ketunggalan penyelesaian dan syarat-syarat apa yang merupakan syarat perlu dan cukup dengan mengkonstruksi ruang Hilbert dari fungsi-fungsi licin yang didefinisikan pada persegi panjang satuan yang memenuhi syarat batas yang diberikan. keberadaan fungsi interpolan juga dapat ditunjukkan dengan mengkonstruksi fungsi tersebut di ruang fungsi ...

Research paper thumbnail of Integral fungsi bernilai himpunan pada ruang banach non-separable

Lembaga Penelitian dan Pengabdian Masyarakat-Universitas Brawijaya, Nov 18, 2011

Integral Fun& Bemila Himpunan Pada h a n g Banach nan-separable

Research paper thumbnail of Fixed point for derivative and differentiation of single-valued and set-valued functions on metric spaces

Research paper thumbnail of Perbandingan Akurasi Backpropagation Neural Network dan ANFIS Untuk Memprediksi Cuaca

Cuaca merupakan suatu kondisi udara di suatu tempat pada waktu yang relatif singkat, yang dipenga... more Cuaca merupakan suatu kondisi udara di suatu tempat pada waktu yang relatif singkat, yang dipengaruhi oleh berbagai fenomena atmosfer. Informasi mengenai kondisi atmosfer yang cepat, akurat, dan terperinci sangat diperlukan oleh berbagai sektor. Backpropagation Neural Network (BPNN) dan Adaptive Neuro Fuzzy Inference System (ANFIS) adalah metode yang sering digunakan untuk melakukan prediksi dengan kemampuannya untuk melakukan pembelajaran dari informasi yang ada. Dengan kelebihan yang dimiliki oleh kedua metode ini, pada penelitian ini dilakukan implementasi kedua metode ini untuk mengetahui perbandingan akurasi dari kedua metode tersebut dalam melakukan prediksi cuaca berdasarkan parameter-parameter atmosfir yang mempengaruhi. Pada penelitian ini, metode BPNN diimplementasikan dengan menggunakan tiga layer dan dilakukan penambahan aturan pada penentuan kelas output jaringan, sedangkan ANFIS diimplementasi dengan struktur standar ANFIS yaitu lima layer . Pada BPNN dimungkinkan unt...

Research paper thumbnail of The Properties of Intuitionistic Anti Fuzzy Module t-norm and t-conorm

CAUCHY, 2022

Zadeh have introduced fuzzy set in 1965 and Atanassov have introduced intuitionistic fuzzy set in... more Zadeh have introduced fuzzy set in 1965 and Atanassov have introduced intuitionistic fuzzy set in 1986 in theirs paper. Now, many of researcher connecting intuitionistic fuzzy set with algebraic structure. We interested to combine some concepts over intuitionistic fuzzy set, module of a ring, t-norm, t-conorm, and intuitionistic anti fuzzy. In this paper, we discusses about intuitionistic anti fuzzy module t-norm and t-conorm (IAFMTC) and their properties with respect to module homomorphism, maps, pre-image, and anti-image from intuitionistic fuzzy sets. We have investigate all properties of IAFMTC.

Research paper thumbnail of On the differentiability of metric space valued functions

Research paper thumbnail of Eksistensi Selektor Terukur Pada Fungsi Bernilai Himpunan DI Dalam Ruang Banach Tak Separabel

Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP), Jun 29, 2012

In the Kuratowski-Ryll Nardzewski theorem, measurable selector of the setvalued functions exist i... more In the Kuratowski-Ryll Nardzewski theorem, measurable selector of the setvalued functions exist if the value of set-valued function is a subset of a separable Banach spaces. In this article show that the set-valued function has a measurable selector in non separable Banach spaces.

Research paper thumbnail of Application of a Fixed Point of Derivative Function

Current Topics on Mathematics and Computer Science Vol. 3, 2021

In \(\mathbb{R}\), the Brouwer’s fixed point theorem states that for any continuous functions \(\... more In \(\mathbb{R}\), the Brouwer’s fixed point theorem states that for any continuous functions \(\mathit{f}\) : [0,1] \(\rightarrow\) [0,1] has a fixed point. There is observing the nature of its functions, the domain of the function, or a support function. In this article, we show that the derivative function on [0,1] into itself has a fixed point even though the derivative function does not necessarily continuous.

Research paper thumbnail of Caristi and Banach Fixed Point Theorem on Partial Metric Space

Far East Journal of Mathematical Sciences, 2015

In this article are shown Caristi and Banach fixed point theorem type in the partial metric space... more In this article are shown Caristi and Banach fixed point theorem type in the partial metric space. Both will be proven by using Ekeland’s variational principle in partial metric space which also introduced in this article.

Research paper thumbnail of Solusi Regularitas Persamaan Diferensial Parsial Eliptik Linier Orde Dua

Dalam paper ini akan dipelajari solusi regularitas dari persamaan diferensial parsial eliptik lin... more Dalam paper ini akan dipelajari solusi regularitas dari persamaan diferensial parsial eliptik linier orde dua. Pertama akan ditunjukkan keeksisan dan ketunggalan solusi lemah dari model di ruang Hilbert. Selanjutnya akan dibangun persamaan homogen yang terkait untuk mempelajari sifat ketaksamaan Harnack dan estimasi De Giorgi-Nash-Moser. Terakhir, dengan menggunakan sifat tersebut dan karakterisasi Campanato akan ditunjukkan solusi regularitas dari model.

Research paper thumbnail of Partial Metric on Space of Subsets

This article introduced the concept of the Hausdroff partial metric. By using the Hausdorff parti... more This article introduced the concept of the Hausdroff partial metric. By using the Hausdorff partial metric we study the fixed point theory for set-valued mappings on partial metric spaces. Fixed point theorem that has been resulting by Nadler for set-valued mapping will be extended to partial metric spaces and the proof using Ekeland variational principle.

Research paper thumbnail of On common fixed point of a function and its derivative

In this article, we present a common fixed point of a function with its derivative function. The ... more In this article, we present a common fixed point of a function with its derivative function. The existence of common fixed point is shown through a pair of commutative, weakly commutative, and compatible mapping. This result is relatively new for the pair raised was between functions with their derivatives.

Research paper thumbnail of Common Fixed-Point Theorems of Caristi-Type Mappings by Using its Absolute Derivative

Applied Mathematics & Information Sciences, 2019

Research paper thumbnail of Caristi-type fixed point theorem of set-valued maps in metric spaces

International Journal of Mathematical Analysis, 2017

Research paper thumbnail of muslikhIJMA29-32-2013 (1)

Research paper thumbnail of Existence of a Continuous Caristi Selection of Set-Valued Mappings

Research paper thumbnail of The Henstock-Kurzweil integral of set-valued function

International Journal of Mathematical Analysis, 2014