Results 31 to 40 of about 208 (105)

Fixed points via a generalized local commutativity: the compact case

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2027-2034, 2003., 2003
In an earlier paper, the concept of semigroups of self‐maps which are nearly commutative at a function g : X → X was introduced. We now continue the investigation, but with emphasis on the compact case. Fixed‐point theorems for such semigroups are obtained in the setting of semimetric and metric spaces.
Gerald F. Jungck
wiley   +1 more source

Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces

Topological Algebra and its Applications, 2022
The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces.
Büyükkaya Abdurrahman, Öztürk Mahpeyker   +1 more
doaj   +1 more source

Relation‐Theoretic Contraction via a Triplet of Auxiliary Functions and an Application to Ordinary Differential Equations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally J‐transitive binary relation. We also present an example to illustrate the suitability of our results and discuss some applications to first and second order ordinary differential equations with periodic boundary value problems,
Shahbaz Ali, Qamrul Haque Khan, Majed Albaity, Cenap Ozel, Yuri Latushkin   +4 more
wiley   +1 more source

On the Fixed Point Results for the Suzuki‐Type Multivalued δ‐Contractions

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this study, we prove the existence of a fixed point for a Suzuki‐type δ‐contraction, which is a generalization of the δ‐contraction and weak δ‐contraction mappings. We prove a fixed point theorem for multivalued mappings satisfying a Suzuki‐type δ‐contraction in complete fuzzy metric spaces. Furthermore, we prove some several fixed point results for
Müzeyyen Sangurlu Sezen, A. Duran Türkoğlu, Serap Özcan, Sina Etemad, Azhar Hussain, Raaid Alubady, Ozgur Ege   +6 more
wiley   +1 more source

Existence results for ABC-fractional BVP via new fixed point results of F-Lipschitzian mappings

Demonstratio Mathematica, 2022
In this article, fixed point results for self-mappings in the setting of two metrics satisfying FF-lipschitzian conditions of rational-type are proved, where FF is considered as a semi-Wardowski function with constant τ∈R\tau \in {\mathbb{R}} instead of ...
Mehmood Nayyar, Khan Israr Ali, Nawaz Muhammad Ayyaz, Ahmad Niaz   +3 more
doaj   +1 more source

Some Results of Fixed Points in Complete b‐Metric‐Like Space With Application

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this contribution, we prove some results of the uniqueness of the common fixed point for quadruple mappings in a complete b‐metric‐like space. Then, two nontrivial illustrative examples are provided to highlight the reliability of our basic findings.
Hakima Bouhadjera, Mohammed S. Abdo, Hadeel Z. Alzumi, Wafa Shammakh, Ozgur Ege   +4 more
wiley   +1 more source

Positive coincidence points for a class of nonlinear operators and their applications to matrix equations

Open Mathematics, 2020
Consider an ordered Banach space and f,gf,g two self-operators defined on the interior of its positive cone. In this article, we prove that the equation f(X)=g(X)f(X)=g(X) has a positive solution, whenever f is strictly α\alpha -concave g-monotone or ...
Kedim Imed, Berzig Maher, Ajmi Ahdi Noomen   +2 more
doaj   +1 more source

Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces

Open Mathematics, 2022
In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims.
Shukla Rahul, Panicker Rekha
doaj   +1 more source

Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b‐Metric Space

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b‐metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva‐Seikkala’s type fuzzy b‐metric spaces are presented. It
Jiaojiao Wu, Fei He, Shu-fang Li, Xinyan Zhang, Samuel Nicolay   +4 more
wiley   +1 more source

Common fixed points of R-weakly commuting maps in generalized metric spaces

Fixed Point Theory and Applications, 2011
In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result.
Khan Safeer, Abbas Mujahid, Nazir Talat
doaj