Results 31 to 40 of about 5,560 (184)

Solving Systems of Linear Integral Equations via Fixed Point Theory in Extended Parametric Sb‐Metric Spaces

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The purpose of this article is to present some fixed point theorems to guarantee the existence and uniqueness of common fixed points for two mappings (not necessary continuous), satisfying generalized contractions involving rational expressions in the setting of extended parametric Sb‐metric spaces.
Naveen Mani   +4 more
wiley   +1 more source

Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings

open access: yes, 2013
In this paper we introduce the concept of cone metric spaces with Banach algebras, replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces.
Hao Liu, Shaoyuan Xu
semanticscholar   +1 more source

Fixed-point results for convex orbital operators

open access: yesDemonstratio Mathematica, 2023
The aim of this article is to introduce a new type of operator similar to those of A. Petruşel and G. Petruşel type (Fixed point results for decreasing convex orbital operators, J. Fixed Point Theory Appl. 23 (2021), no.
Popescu Ovidiu
doaj   +1 more source

Weak Compatibility and Common Fixed Point Theorems for A-Contractive and E-expansive Maps in Uniform Spaces [PDF]

open access: yes, 2005
2000 Mathematics Subject Classification: 47H10, 54E15.The purpose of this paper is to define the notion of A-distance and E-distance in uniform spaces and give several new common fixed point results for weakly compatible contractive or expansive ...
Aamri, M., El Moutawakil, D.
core  

A New Approach of Graphical Presentation in C∗‐Algebra‐Valued b‐Metric Spaces With an Application

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we introduced the new concept of a graphical presentation approach in C∗‐algebra‐valued b‐metric space (C∗AVbM‐space). We studied some new modified contraction conditions for single‐valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said space with nontrivial illustrative examples.
Faiz Ullah   +4 more
wiley   +1 more source

Generalized common fixed point theorems in complex valued metric spaces and applications

open access: yes, 2012
Recently, Azam et al. introduced new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction condition.
W. Sintunavarat, Poom Kumam
semanticscholar   +1 more source

Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations

open access: yesSymmetry, 2019
The purpose of this paper is to find out fixed point results for a pair of semi α * -dominated multivalued mappings fulfilling a generalized locally F-dominated multivalued contractive condition on a closed ball in complete dislocated b-metric space ...
Tahair Rasham   +4 more
semanticscholar   +1 more source

Two fixed point results on F-metric spaces

open access: yesTopological Algebra and its Applications, 2022
This paper presents two fixed point results for both single valued and multivalued mappings on F-metric spaces, which is introduced by Jleli and Samet [1]. First, we consider the concept of P-contraction for single valued mappings.
Altun Ishak, Erduran Ali
doaj   +1 more source

Fixed point theorems for asymptotically contractive mappings [PDF]

open access: yes, 2003
In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math.
Suzuki, Tomonari
core   +4 more sources

Algorithms Based on Unions of Nonexpansive Maps

open access: yes, 2018
In this note, we consider a framework for the analysis of iterative algorithms which can described in terms of a structured set-valued operator. More precisely, at each point in the ambient space, we assume that the value of operator can be expressed as ...
Tam, Matthew K.
core   +1 more source

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