Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Karim Chaira"'
Autor:
Karim Chaira, Belkassem Seddoug
Publikováno v:
Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2023, Iss 1, Pp 1-15 (2023)
Abstract Let A and B be two nonempty subsets of a normed space X, and let T : A ∪ B → A ∪ B $T: A \cup B \to A \cup B$ be a cyclic (resp., noncyclic) mapping. The objective of this paper is to establish weak conditions on T that ensure its rela
Externí odkaz:
https://doaj.org/article/9305f5b71e9c49f19f21d40a9b627e6b
Publikováno v:
Fixed Point Theory and Applications, Vol 2020, Iss 1, Pp 1-24 (2020)
Abstract In this paper, we consider the class of monotone ρ-nonexpansive semigroups and give existence and convergence results for common fixed points. First, we prove that the set of common fixed points is nonempty in uniformly convex modular space
Externí odkaz:
https://doaj.org/article/1bd205b0f3824713aba1f5675fa36ffc
Publikováno v:
Journal of Function Spaces, Vol 2021 (2021)
In this paper, we establish fixed point theorems for Chatterjea contraction mappings on a generalized metric space endowed with a graph. Our results extend, generalize, and improve many of existing theorems in the literature. Moreover, some examples
Externí odkaz:
https://doaj.org/article/fb3999ffebff480f9a11749d77f0da0a
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2020 (2020)
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 enlargeme
Externí odkaz:
https://doaj.org/article/3cf575994fcd49dba250c965fe1e30b3
Publikováno v:
Abstract and Applied Analysis, Vol 2020 (2020)
In this paper, we discuss a class of mappings more general than ρ-nonexpansive mapping defined on a modular space endowed with a graph. In our investigation, we prove the existence of fixed point results of these mappings. Then, we also introduce an
Externí odkaz:
https://doaj.org/article/96eaebf96ff6478185523687a13e765e
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2020 (2020)
In this paper, we revisit the renowned fixed point theorems of Ćirić and Caristi. We propose some new fixed point theorems in a metric space with partial order. To make our results effective, several examples are presented.
Externí odkaz:
https://doaj.org/article/294a5f1596224e6797d2133ae2e38336
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2020 (2020)
In this paper, we obtain some fixed point results for noncyclic monotone ρ-nonexpansive mappings in uniformly convex modular spaces and uniformly convex in every direction modular spaces. As an application, we prove the existence of the solution of
Externí odkaz:
https://doaj.org/article/3c256d04c68f4d9195537fea9b39fbe6
Fixed Point Results of a General Class of Monotone Nonexpansive Mappings in Hyperbolic Metric Spaces
Publikováno v:
Journal of Function Spaces, Vol 2020 (2020)
In this paper, we introduce and study some properties of a new class of generalized monotone nonexpansive mappings in hyperbolic metric spaces. Further, we give some results on the convergence of the Mann iterative process for this class of mappings
Externí odkaz:
https://doaj.org/article/ae215a38b55b4791b00ff62d157e014e
Autor:
Karim Chaira, Samih Lazaiz
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 24, Iss 2, Pp 147-165 (2018)
In this paper, we formulate best proximity pair theorems for noncyclic relatively ρ-nonexpansive mappings in modular spaces in the setting of proximal ρ-admissible sets. As a companion result, we establish a best proximity pair theorem for pointwis
Externí odkaz:
https://doaj.org/article/eabb1958f8034e079154c1dc891b03b2
Publikováno v:
Fixed Point Theory and Applications, Vol 2018, Iss 1, Pp 1-14 (2018)
Abstract In this paper, we prove some common fixed point theorems for a finite family of multivalued and single-valued mappings operating on ordered Banach spaces. Our results extend and generalize many results in the literature on fixed point theory
Externí odkaz:
https://doaj.org/article/514411b3fafc4ca7b8ac8b9c1775448a