Papers by ABDERRAHIM ELADRAOUI
Fixed Point Theory and Algorithms for Sciences and Engineering, Feb 8, 2021
In this paper, we investigate the existence and the uniqueness of a common fixed point of a pair ... more In this paper, we investigate the existence and the uniqueness of a common fixed point of a pair of self-mappings satisfying new contractive type conditions on a modular metric space endowed with a reflexive digraph. An application is given to show the use of our main result.
International Journal of Mathematics and Mathematical Sciences, Mar 16, 2020
We discuss Fisher's fixed point theorem for mappings defined on a generalized metric space endowe... more We discuss Fisher's fixed point theorem for mappings defined on a generalized metric space endowed with a graph. is work should be seen as a generalization of the classical Fisher fixed point theorem. It extends some recent works on the enlargement of Banach Contraction Principle to generalized metric spaces with graph. An example is given to illustrate our result.
Iranian Journal of Mathematical Sciences and Informatics, Apr 1, 2020
The purpose of this paper is to establish fixed point results for a single mapping in a partially... more The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.
Malaya journal of matematik, Nov 1, 2017
The purpose of this paper is to establish Fisher fixed point theorem for two single mappings in t... more The purpose of this paper is to establish Fisher fixed point theorem for two single mappings in the setting of partially ordered generalized metric spaces.
International Journal of Mathematics and Mathematical Sciences, 2018
We extend the result of Kirk-Saliga and we generalize Alfuraidan and Khamsi theorem for reflexive... more We extend the result of Kirk-Saliga and we generalize Alfuraidan and Khamsi theorem for reflexive graphs. As a consequence, we obtain the ordered version of Caristi's fixed point theorem. Some concrete examples are given to support the obtained results.
Journal of Mathematics, Jul 1, 2019
The aim of this paper is to generalize Caristi's fixed point theorem in a K-complete quasi-metric... more The aim of this paper is to generalize Caristi's fixed point theorem in a K-complete quasi-metric space endowed with a reflexive digraph by using Száz maximum principle. An example is given to support our main result.
Applied mathematical sciences, 2019
In this paper, by using the idea of combining fixed point theory and graph theory, we shall intro... more In this paper, by using the idea of combining fixed point theory and graph theory, we shall introduce the concept of G-Kannan contraction in a generalized metric space introduced recently by Jleli and Samet, endowed with graph. In this setting, we investigate the existence and uniqueness of the fixed point for mappings satisfying such contraction. This work unifies and generalizes various known comparable results in the literature.
Boletim da Sociedade Paranaense de Matemática
In this paper, we proposed and analyzed a non-linear mathematical model for scholar Drop out and ... more In this paper, we proposed and analyzed a non-linear mathematical model for scholar Drop out and we advanced an optimal control policy for this model by considering three variables namely the numbers of school-age children who are in school, school-age children who are out of school, and school-age children in non-formal education. The model is examined using the stability theory of differential equations. The optimal control analysis for the proposed scholar Drop out model is performed using Pontryagin's maximum principle. The conditions for optimal control of the problem with effective use of implemented policies to counter this scourge are derived and analyzed.
Fixed Point Theory, 2022
In this paper, we study the existence of fixed point for relational endomorphisms. This class of ... more In this paper, we study the existence of fixed point for relational endomorphisms. This class of mappings generalizes that of order and edge preserving mappings on posets and graphs respectively. As an application, we give a DeMarr-Type result for a family of Banach operator pairs in a binary relational system.
Solving Non-Delay Job-Shop Scheduling Problems by a new matrix heuristic
Procedia Computer Science, 2022
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021
In this paper, we investigate the existence and the uniqueness of a common fixed point of a pair ... more In this paper, we investigate the existence and the uniqueness of a common fixed point of a pair of self-mappings satisfying new contractive type conditions on a modular metric space endowed with a reflexive digraph. An application is given to show the use of our main result.
International Journal of Mathematics and Mathematical Sciences, 2021
The aim of this paper is to prove a common random fixed-point and some random fixed-point theorem... more The aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.
Advances in Fixed Point Theory, 2016
The purpose of this paper is to establish fixed point results for a single mapping in a partially... more The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities. We introduce an application to illustrate the usability of our results.
The purpose of this paper is to establish some fixed point results for mappings, satisfying some ... more The purpose of this paper is to establish some fixed point results for mappings, satisfying some weak contractive inequalities, in a partially ordered modular metric space. AMS Subject Classification: 46A80, 47H10
Journal of Mathematics, 2020
In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric s... more In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. Two examples are given to support the main results. Furthermore, we have functional equations as an application for the main theorem.
Iranian Journal of Mathematical Sciences and Informatics, 2020
The purpose of this paper is to establish fixed point results for a single mapping in a partially... more The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.
International Journal of Mathematics and Mathematical Sciences, 2020
We discuss Fisher’s fixed point theorem for mappings defined on a generalized metric space endowe... more We discuss Fisher’s fixed point theorem for mappings defined on a generalized metric space endowed with a graph. This work should be seen as a generalization of the classical Fisher fixed point theorem. It extends some recent works on the enlargement of Banach Contraction Principle to generalized metric spaces with graph. An example is given to illustrate our result.
Journal of Mathematics, 2019
The aim of this paper is to generalize Caristi’s fixed point theorem in a K-complete quasi-metric... more The aim of this paper is to generalize Caristi’s fixed point theorem in a K-complete quasi-metric space endowed with a reflexive digraph by using Száz maximum principle. An example is given to support our main result.
International Journal of Mathematics and Mathematical Sciences, 2018
We extend the result of Kirk-Saliga and we generalize Alfuraidan and Khamsi theorem for reflexive... more We extend the result of Kirk-Saliga and we generalize Alfuraidan and Khamsi theorem for reflexive graphs. As a consequence, we obtain the ordered version of Caristi’s fixed point theorem. Some concrete examples are given to support the obtained results.
Malaya Journal of Matematik, 2017
The purpose of this paper is to establish Fisher fixed point theorem for two single mappings in t... more The purpose of this paper is to establish Fisher fixed point theorem for two single mappings in the setting of partially ordered generalized metric spaces.
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Papers by ABDERRAHIM ELADRAOUI