Results 51 to 60 of about 5,560 (184)

A note on matrices mapping a positive vector onto its element-wise inverse

, 2017
For any primitive matrix $M\in\mathbb{R}^{n\times n}$ with positive diagonal entries, we prove the existence and uniqueness of a positive vector $\mathbf{x}=(x_1,\dots,x_n)^t$ such that $M\mathbf{x}=(\frac{1}{x_1},\dots,\frac{1}{x_n})^t$.
Labbé, Sébastien
core   +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

Contraction conditions using comparison functions on b-metric spaces

, 2014
In this paper, we consider the setting of b-metric spaces to establish results regarding the common fixed points of two mappings, using a contraction condition defined by means of a comparison function.
W. Shatanawi, A. Pitea, Rade Lazovic
semanticscholar   +1 more source

A minimax inequality and its applications to fixed point theorems in CAT(0) spaces

Fixed Point Theory and Applications, 2011
In this paper, a CAT(0) version of famous Fan's minimax inequality is established and as its application, we obtain some fixed point theorems and best approximation theorems in CAT(0) spaces. 2000 Mathematics Subject Classification: 47H10.
Shabanian S, Vaezpour SM
doaj  

Convergence results on Picard-Krasnoselskii hybrid iterative process in CAT(0) spaces

Open Mathematics, 2021
We get the strong and Δ\Delta -convergence of the Picard-Krasnoselskii hybrid iteration scheme to a fixed point of a self-map endowed with the condition (Bγ,μ)\left({B}_{\gamma ,\mu }). We use the nonlinear context of CAT(0) spaces for establishing these
Ahmad Junaid, Ullah Kifayat, Arshad Muhammad, de la Sen Manuel, Ma Zhenhua   +4 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

Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces

Fixed Point Theory and Applications, 2011
We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong, Dhompongsa Sompong   +1 more
doaj  

Fixed Point Theorems in Complex Valued Extended b-Metric Spaces

Moroccan Journal of Pure and Applied Analysis, 2019
In this article, inspired by the concepts of extended b-metric spaces, we introduce the notion of complex valued extended b-metric spaces. Using this new idea, some fixed point theorems involving rational contractive inequalities are proved.
Ullah Naimat, Shagari Mohammed Shehu, Azam Akbar   +2 more
doaj   +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

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