Taieb Hamaizia | Universite Farehat Abes Setif (original) (raw)

Papers by Taieb Hamaizia

Moroccan Journal of Pure and Applied Analysis, 2021

In this paper, we prove some common fixed point theorems satisfying contractive type mapping in t... more In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U. Rahman [23] as well as a generalization of many well-known results in the literature through the context of b-metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper. Finally, results are applied to find the solution for an integral equation.

General Mathematics

In this paper, we prove a new coincidence and common fixed point theorem of hybrid mappings using... more In this paper, we prove a new coincidence and common fixed point theorem of hybrid mappings using the C-class function and T -weak commutativity. Finally, we give an example to illustrate our result.

Mathematics

In this paper, we establish a result for the existence of common fixed points for multi-valued ma... more In this paper, we establish a result for the existence of common fixed points for multi-valued mappings, satisfying some contractions for complex-valued b-metric spaces. Finally, we present an example to illustrate and support our results.

Palestine Journal of Mathematics, 2021

Université Oum El Bouaghi, 2019

Mathematica Moravica, 2021

The purpose of this paper is to prove a common fixed point theorems for two pairs of mappings und... more The purpose of this paper is to prove a common fixed point theorems for two pairs of mappings under the generalized Z-contraction with respect to the concept of simulation function in b-metric space. Our paper generalizes some fixed point theorems in literature [6, 13, 16, 18].

New Trends in Mathematical Science, 2019

The aim of this paper is to prove fixed point theorem for an extended Kannan and Chatterjea type ... more The aim of this paper is to prove fixed point theorem for an extended Kannan and Chatterjea type T-contraction mapping in a cone metric space. Our results generalize recent results existing in the literature of T-contraction mappings in cone metric space

In this paper, A new fixed point theorem for two pairs of mappings on two metric spaces is proved... more In this paper, A new fixed point theorem for two pairs of mappings on two metric spaces is proved. This result generalizes the main theorem from (2).

In this paper we are interessted in generating the α-dense curves in a hyperrectangle of R using ... more In this paper we are interessted in generating the α-dense curves in a hyperrectangle of R using the periodic solutions of some ordinary differential equations of high order. The solutions are defined by periodic functions. Some applications and numerical results are introduced to illustrate the idea of this technique.

International Journal of Nonlinear Analysis and Applications, 2021

The aim of this paper is to prove a nonunique common fixed point theorem of Rhoades type for two ... more The aim of this paper is to prove a nonunique common fixed point theorem of Rhoades type for two self-mappings in complete b-metric spaces. This theorem extends the results of [17] and [49]. Examples are furnished to illustrate the validity of our results. We apply our theorem to establish the existence of common solutions of a system of two nonlinear integral equations and a system of two functional equations arising in dynamic programming.

T he concept of b-metric spaces was first introduced by Bakhtin [1] and Czerwik [2] and utilized ... more T he concept of b-metric spaces was first introduced by Bakhtin [1] and Czerwik [2] and utilized for s = 2 and for an arbitrary s ≥ 1 to prove some generalizations of Banach’s fixed point theorem [3]. In 2010, Khamsi and Hussain [4] reintroduced the notion of b-metric and called it a metric-type. Afterwards, several authors proved fixed and common fixed point theorems for single-valued mappings in b-metric spaces, see [5–16]. In this paper, we introduce the definition of C-class functions and (ψ, φ, F)-contraction type mappings where ψ is the altering distance function and φ is the ultra altering distance function. The unique fixed point theorem for self mapping in the setting of b-complete metric spaces is proven. In the end of paper, we apply our main result to approximating the solution of the Fredholm integral equation. In the sequel, we always denote by N, R, and R+ the set of positive integers, real numbers, and nonnegative real numbers, respectively. The following definitions...

Fixed points theorem in relatively two intuitionistic fuzzy metric spaces is obtained by generali... more Fixed points theorem in relatively two intuitionistic fuzzy metric spaces is obtained by generalizing a theorem of [6] in fuzzy metric space.

The filled function method is an effective approach to find the global minimizer of multidimensio... more The filled function method is an effective approach to find the global minimizer of multidimensional functions. In this paper, we present a new filled function for the smooth nonconvexe global optimization problem with only one parameter is proposed, which is continuously differentiable and proved to satisfy all conditions of the filled function definition.

The purpose of this paper is to prove a fixed point theorem for \(C\)-class functions in complete... more The purpose of this paper is to prove a fixed point theorem for \(C\)-class functions in complete \(b\)-metric spaces. Moreover, the solution of the integral equation is obtained using our main result.

In this paper, we prove common fixed point theorems for two multivalued mappings in complete b-me... more In this paper, we prove common fixed point theorems for two multivalued mappings in complete b-metric spaces. Our Theorem 5 generalizes Theorem 1 of Khojasteh et al. (Abstr Appl. Anal. Doi: https://doi.org/10.1155/2014/325840, 2014), Theorem 2 of Rhoades (Gen Math Notes 27(2): 123–32, 2015) and Theorem 3 of Demma et al. (J Funct Spaces, Doi: https://doi.org/10.1155/2015/189861, 2015). Examples are provided to illustrate the validity of our results. Finally, we apply Theorem 5 to establish the existence of common solutions of Fredholm integral inclusions.

Notes on Intuitionistic Fuzzy Sets

Moroccan Journal of Pure and Applied Analysis, 2021

In this paper, we prove some common fixed point theorems satisfying contractive type mapping in t... more In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U. Rahman [23] as well as a generalization of many well-known results in the literature through the context of b-metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper. Finally, results are applied to find the solution for an integral equation.

General Mathematics

In this paper, we prove a new coincidence and common fixed point theorem of hybrid mappings using... more In this paper, we prove a new coincidence and common fixed point theorem of hybrid mappings using the C-class function and T -weak commutativity. Finally, we give an example to illustrate our result.

Mathematics

In this paper, we establish a result for the existence of common fixed points for multi-valued ma... more In this paper, we establish a result for the existence of common fixed points for multi-valued mappings, satisfying some contractions for complex-valued b-metric spaces. Finally, we present an example to illustrate and support our results.

Palestine Journal of Mathematics, 2021

Université Oum El Bouaghi, 2019

Mathematica Moravica, 2021

The purpose of this paper is to prove a common fixed point theorems for two pairs of mappings und... more The purpose of this paper is to prove a common fixed point theorems for two pairs of mappings under the generalized Z-contraction with respect to the concept of simulation function in b-metric space. Our paper generalizes some fixed point theorems in literature [6, 13, 16, 18].

New Trends in Mathematical Science, 2019

The aim of this paper is to prove fixed point theorem for an extended Kannan and Chatterjea type ... more The aim of this paper is to prove fixed point theorem for an extended Kannan and Chatterjea type T-contraction mapping in a cone metric space. Our results generalize recent results existing in the literature of T-contraction mappings in cone metric space

In this paper, A new fixed point theorem for two pairs of mappings on two metric spaces is proved... more In this paper, A new fixed point theorem for two pairs of mappings on two metric spaces is proved. This result generalizes the main theorem from (2).

In this paper we are interessted in generating the α-dense curves in a hyperrectangle of R using ... more In this paper we are interessted in generating the α-dense curves in a hyperrectangle of R using the periodic solutions of some ordinary differential equations of high order. The solutions are defined by periodic functions. Some applications and numerical results are introduced to illustrate the idea of this technique.

International Journal of Nonlinear Analysis and Applications, 2021

The aim of this paper is to prove a nonunique common fixed point theorem of Rhoades type for two ... more The aim of this paper is to prove a nonunique common fixed point theorem of Rhoades type for two self-mappings in complete b-metric spaces. This theorem extends the results of [17] and [49]. Examples are furnished to illustrate the validity of our results. We apply our theorem to establish the existence of common solutions of a system of two nonlinear integral equations and a system of two functional equations arising in dynamic programming.

T he concept of b-metric spaces was first introduced by Bakhtin [1] and Czerwik [2] and utilized ... more T he concept of b-metric spaces was first introduced by Bakhtin [1] and Czerwik [2] and utilized for s = 2 and for an arbitrary s ≥ 1 to prove some generalizations of Banach’s fixed point theorem [3]. In 2010, Khamsi and Hussain [4] reintroduced the notion of b-metric and called it a metric-type. Afterwards, several authors proved fixed and common fixed point theorems for single-valued mappings in b-metric spaces, see [5–16]. In this paper, we introduce the definition of C-class functions and (ψ, φ, F)-contraction type mappings where ψ is the altering distance function and φ is the ultra altering distance function. The unique fixed point theorem for self mapping in the setting of b-complete metric spaces is proven. In the end of paper, we apply our main result to approximating the solution of the Fredholm integral equation. In the sequel, we always denote by N, R, and R+ the set of positive integers, real numbers, and nonnegative real numbers, respectively. The following definitions...

Fixed points theorem in relatively two intuitionistic fuzzy metric spaces is obtained by generali... more Fixed points theorem in relatively two intuitionistic fuzzy metric spaces is obtained by generalizing a theorem of [6] in fuzzy metric space.

The filled function method is an effective approach to find the global minimizer of multidimensio... more The filled function method is an effective approach to find the global minimizer of multidimensional functions. In this paper, we present a new filled function for the smooth nonconvexe global optimization problem with only one parameter is proposed, which is continuously differentiable and proved to satisfy all conditions of the filled function definition.

The purpose of this paper is to prove a fixed point theorem for \(C\)-class functions in complete... more The purpose of this paper is to prove a fixed point theorem for \(C\)-class functions in complete \(b\)-metric spaces. Moreover, the solution of the integral equation is obtained using our main result.

In this paper, we prove common fixed point theorems for two multivalued mappings in complete b-me... more In this paper, we prove common fixed point theorems for two multivalued mappings in complete b-metric spaces. Our Theorem 5 generalizes Theorem 1 of Khojasteh et al. (Abstr Appl. Anal. Doi: https://doi.org/10.1155/2014/325840, 2014), Theorem 2 of Rhoades (Gen Math Notes 27(2): 123–32, 2015) and Theorem 3 of Demma et al. (J Funct Spaces, Doi: https://doi.org/10.1155/2015/189861, 2015). Examples are provided to illustrate the validity of our results. Finally, we apply Theorem 5 to establish the existence of common solutions of Fredholm integral inclusions.

Notes on Intuitionistic Fuzzy Sets