Results 31 to 40 of about 5,641 (184)
Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
, 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
Weak Compatibility and Common Fixed Point Theorems for A-Contractive and E-expansive Maps in Uniform Spaces [PDF]
, 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
Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces
, 2015 In the context of tvs-cone metric spaces, we prove a Bishop-Phelps and a Caristi's type theorem. These results allow us to prove a fixed point theorem for $(\delta, L)$-weak contraction according to a pseudo Hausdorff metric defined by means of a cone ...
Fierro, Raúl
core +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The objective of this paper is to present a new fixed‐point result for a class of mappings named a cyclic generalized ψ‐weak contraction. We also presented the best proximity point for the contraction when the considered sets have no common points. We go through rigorous steps to prove the existence of a unique fixed‐point and best proximity point ...
Nigussa L. Bayissa +2 more
wiley +1 more source
, 2014 In this paper, we first present some elementary results concerning cone metric spaces over Banach algebras. Next, by using these results and the related ones about c-sequence on cone metric spaces we obtain some new fixed point theorems for the ...
Shaoyuan Xu, S. Radenović
semanticscholar +1 more source
Abstract and Applied AnalysisMSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
doaj +1 more source
A system of additive functional equations in complex Banach algebras
Demonstratio Mathematica, 2023 In this article, we solve the system of additive functional equations: 2f(x+y)−g(x)=g(y),g(x+y)−2f(y−x)=4f(x)\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}2f\left(x+y)-g\left(x)=g(y),\\ g\left(x+y)-2f(y-x)=4f\left(x)\end{array}\right.
Paokanta Siriluk +3 more
doaj +1 more source
Generalization of the Banach contraction principle [PDF]
, 2013 We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle.
Berzig, Maher
core
Generalized common fixed point theorems in complex valued metric spaces and applications
, 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
Symmetry, 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