Ljiljana Paunović - Academia.edu (original) (raw)

Papers by Ljiljana Paunović

Vojnotehnički Glasnik, 2022

Gulf Journal of Mathematics

In this paper, we consider fixed point results in the setup of bbb-metric spaces for weakly T-Kan... more In this paper, we consider fixed point results in the setup of bbb-metric spaces for weakly T-Kannan and weakly T-Chatterjea contractive mappings. Thus, we improve and complement recent results established by Z. Mustafa et al.\ [J.\ Inequal.\ Appl.\ 2014, 2014:46] and A. Razani, V. Parvaneh [Russ.\ Math.\ (Izv.\ VUZ), 57 (3), 38--45 (2013)], with much shorter proofs. Moreover, we show that the results of A.H. Ansari et al.\ [J. Inequal.\ Appl.\ 2014, 2014:429] are not generalizations of the known ones. An example is given illustrating our results.

Mathematical Problems in Engineering, May 27, 2022

In this article, we propose some weaker orthogonal (τ, F T)− type of contraction mappings in the ... more In this article, we propose some weaker orthogonal (τ, F T)− type of contraction mappings in the setting of metric spaces endowed with an orthogonal relation, as well as certain su cient criteria for the existence of xed points for this class of mappings. To establish all of our results in the manuscript, we just used Wardowski's strictly increasing property. Using the aforementioned results as an application, we demonstrate that the Volterra type integral equation has a solution and is stable in the Hyers-Ulam-Rassias-Wright sense.

In this paper, we proved some unique common fixed point results in setting of C * -algebra-valued... more In this paper, we proved some unique common fixed point results in setting of C * -algebra-valued metric spaces for two pairs of weakly compatible mappings, satisfying a contractive condition given by Pachpatte [Pachpatte, B. G. Fixed point theorems satisfying new contractive type conditions, Soochow Journal of Mathematics. 16(2), pp.173-183, (1990)] using property (E.A).

The aim of this paper is to prove a common fixed point theorem for two pairs of ω-compatible and ... more The aim of this paper is to prove a common fixed point theorem for two pairs of ω-compatible and ω-weakly compatible maps for extending and generalizing the results of Murthy and Prasad [13] in modular metric spaces. The main result is also illustrated by an example to demonstrate the degree of validity of our hypothesis.

Fractal and Fractional, 2021

Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan,... more Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space. As Popescu and Stan we use less conditions than D. Wardovski did in his paper from 2012, and we introduce, with the help of one of our lemmas, a new method of proving the results in fixed point theory. Requiring that the function F only be strictly increasing, we obtain for consequence new families of contractive conditions that cannot be found in the existing literature. Note that our results generalize and complement many well-known results in the fixed point theory. Also, at the end of the paper, we have stated an application of our theoretical results for solving fractional differential equations.

Filomat, 2020

We present some new results for ??L-rational contractive and cyclic ??L- rational contractive map... more We present some new results for ??L-rational contractive and cyclic ??L- rational contractive mappings defined in dl-complete metric-like spaces (also known as dislocated metric spaces). We have showed that established results for both types of contractive mappings are in the fact equivalent. By using this result obtained so far we discuss some examples at the end of this paper. All these examples show the advantage of our results.

Journal of Mathematics, 2021

In this paper, we consider, discuss, complement, improve, generalize, and enrich some fixed point... more In this paper, we consider, discuss, complement, improve, generalize, and enrich some fixed point results obtained forβ−ψ1−ψ2−contractive conditions in ordered b-metric-like spaces. By using our new approach for the proof that one Picard’s sequence isbbl−Cauchy in the context of b-metric-like spaces, we get much shorter proofs than the ones mentioned in the recent papers. Also, by the use of our method, we complement and enrich some common fixed point results forβq,ϕs,ψ−contraction mappings. Our approach in this paper generalizes and modifies several comparable results in the existing literature.

In this paper, among other things, we have established four different types of compatible mapping... more In this paper, among other things, we have established four different types of compatible mappings that work in the context of C*-algebra valued metric spaces. The obtained types of mappings generalize from previously known ones within ordinary metric spaces. We have shown by examples that these types of mappings are really different. They can be used to consider new fixed point results which were done in the paper for the case of common fixed points of some mappings. The results in this paper generalize, extend, unify, enrich and complement many known results in the existing literature.

Zbornik radova Uciteljskog fakulteta Prizren-Leposavic, 2020

The fact is that most students have a problem with the adoption of mathematical content. Mathemat... more The fact is that most students have a problem with the adoption of mathematical content. Mathematics as a school subject is something that burdens them, and math classes are a real torture for them. How to learn mathematics and have the desired grade is a problem for students and their parents, as well as for teachers. Many mathematicians, pedagogues and psychologists have researched what it is that would increase students' motivation to adopt mathematical content. Some believe that the students' success to a large extent depends on the competencies and engagement of teachers, while others believe that the student himself and its inner motivation are of crucial importance. A student who has an "internal drive", who has the will and desire to work, who is persistent and does not give up on his goals achieves the best results. In this paper, we have dealt with the problem of motivation in students in the lower grades of primary school in the teaching of mathematics. ...

Cogent Mathematics & Statistics, 2020

In this article, we establish some new results on Jungck-Ćirić-Wardowski type mappings in complet... more In this article, we establish some new results on Jungck-Ćirić-Wardowski type mappings in complete metric spaces. Using our new approach, the conditions (W2) and (W3) of Wardowski do not apply for the proof of Cauchyness of the Picard-Jungck sequence. Our results generalize, improve and complement several results in the existing literature.

Vojnotehnicki glasnik, 2018

This short and concise note provides a detailed exposition of the approach and results establishe... more This short and concise note provides a detailed exposition of the approach and results established by (Lin et al, 2015, pp.271-279). We show that the obtained results are not particularly surprising and new. Namely, using an old result due to K. Deimling it is indicated that tvs-cone metric spaces over

Zbornik radova Uciteljskog fakulteta Prizren-Leposavic, 2017

Универзитет у Приштини-Косовској Митровици Учитељски факултет у Призрену-Лепосавићу ТЕОРЕМЕ О ФИК... more Универзитет у Приштини-Косовској Митровици Учитељски факултет у Призрену-Лепосавићу ТЕОРЕМЕ О ФИКСНОЈ ТАЧКИ У КОНУСНОМ МЕТРИЧКОМ ПРОСТОРУ ПРИМЕНОМ c-ДИСТАНЦЕ Сажетак: У овом раду постигнути су резултати који се односе на одређивање фиксне тачке применом c-дистанце. Доказано је постојање фиксне тачке у конусном метричком простору када је пресликавање непрекидно. Доказано је и постојање фиксне тачке у комплетном конусном метричком простору када је конус нормалан али када пресликавање није непрекидно за различите врсте контрактивних пресликавања. Кључне речи: конусни метрички простор, c-дистанца, ω-дистанца. УВОД Француски математичар Морис Фреше (Maurice Frechet) 1906. године први пут уводи концепт метричких простора, али не под тим именом. Термин метрички простор касније уводи немачки математичар Феликс Хаусдорф (Felix Hausdorff) који се сматра једним од оснивача топологије. Касније, 2007. године уведен је појам конусних метричких простора, међутим они су већ постојали под именом К-метрички и К-нормирани простори. У оба случаја скуп R реалних бројева замењен је уређеним Банаховим (Banach) простором Е. Многи аутори су проучавали проблем одређивања фиксне тачке у конусним метричким просторима

Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics, 2017

In a recent paper [Fixed point theorem for generalized operator quasi-contractive mappings in con... more In a recent paper [Fixed point theorem for generalized operator quasi-contractive mappings in cone metric spaces, Afrika Mat.,

Mathematics, 2019

In this manuscript, we propose a new class of Picard-Jungck operators for a pair of mappings on c... more In this manuscript, we propose a new class of Picard-Jungck operators for a pair of mappings on complete metric spaces by taking into account of the C G -simulation function. Also, some new results for the existence of such operators for a pair of self mappings in the setting of metric spaces are obtained. Some nontrivial examples are presented to show the usability of the results.

Vojnotehnicki glasnik, 2017

The existence and uniqueness of a Kronrod type extension to the wellknown Gauss-Turan quadrature ... more The existence and uniqueness of a Kronrod type extension to the wellknown Gauss-Turan quadrature formulas were proved by Li (1994, pp.71-83). For the generalized Chebyshev weight functions and for the Gori-Micchelli weight function, we found explicit formulas of the corresponding generalized Stieltjes polynomials. General real Kronrod extensions of the Gaussian quadrature formulas with multiple nodes are introduced. In some cases, the explicit expressions of the polynomials, whose zeros are the nodes of the considered quadratures, are determined.

The Journal of Nonlinear Sciences and Applications, 2017

The work presented in this paper extends the idea of α-β-contractive mappings in the framework of... more The work presented in this paper extends the idea of α-β-contractive mappings in the framework of b-metric spaces. Fixed points are investigated for such kind of mappings. An example is given to show the superiority of our results. As applications we discuss Ulam-Hyres stability, well-posedness and limit shadowing of fixed point problem.

University thought - Publication in Natural Sciences, 2017

Fixed point theorems for monotone operators in ordered metric spaces are widely investigated and ... more Fixed point theorems for monotone operators in ordered metric spaces are widely investigated and have found various applications in differential and integral equations, see Nieto & Rodríguez-Lόpez (2005); Nieto & Rodríguez-Lόpez (2007); Wu (2008). Motivated by the work in Agarwal et al. (2012); Luong & Thuan (2011) we study the existence of solutions for a system of nonlinear integral equations in ordered b-metric spaces using the results given in this paper.

Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics, 2016

We show that most fixed point results obtained so far in cone metric spaces over solid non-normal... more We show that most fixed point results obtained so far in cone metric spaces over solid non-normal cones can be easily reduced to the case of solid normal cones and, hence, their proofs can be made much simpler. Also, cone tvs-valued spaces over solid cones are not an essential generalization of cone metric spaces. These results are consequences of the simple fact that each solid cone in a topological vector space is in fact normal under a suitably defined norm. The proof follows by using the technique of Minkowski functional. As an application of these results, we prove an extension of the classical Nemytzki-Edelstein fixed point result to (tvs)-(b)-cone metric spaces over solid cones.

Kragujevac Journal of …, 2011

The aim of this paper is to consider an Ishikawa type iteration process with errors to approximat... more The aim of this paper is to consider an Ishikawa type iteration process with errors to approximate the fixed point of two uniformly quasi-Lipschitzian mappings in cone metric spaces. We also extend some fixed point results of these mappings from complete generalized convex metric spaces to cone metric spaces. Our results extend and generalize many known results. Consistent with [8] and [11], the following definitions and results will be needed in the sequel.