Results 41 to 50 of about 5,700 (185)
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
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Abstract and Applied AnalysisMSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
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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
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Fixed point theorems for asymptotically contractive mappings [PDF]
, 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
A Nadler-type fixed point theorem in dislocated spaces and applications
, 2018 In this paper, we introduce the concept of a Hausdorff dislocated metric . We initiate the study of fixed point theory for multi-valued mappings on dislocated metric space using the Hausdorff dislocated metric and we prove a generalization of the well ...
H. Aydi +3 more
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Equivalents of maximum principles for several spaces
Topological Algebra and its Applications, 2022 According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
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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
Extended Nb-cone metric spaces over Banach algebra with an application
Topological Algebra and its Applications, 2022 In this manuscript, we present a new notion which is named as extended Nb-cone metric space over Banach algebra and investigate some fixed point results in the new setting.
Fernandez Jerolina +2 more
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Is the solution to the BCS gap equation continuous in the temperature ?
, 2013 One of long-standing problems in mathematical studies of superconductivity is to show that the solution to the BCS gap equation is continuous in the temperature. In this paper we address this problem.
Watanabe, Shuji
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Generalized metrics and Caristi’s theorem
, 2013 A ‘generalized metric space’ is a semimetric space which does not satisfy the triangle inequality, but which satisfies a weaker assumption called the quadrilateral inequality.
W. A. Kirk, N. Shahzad
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