Results 31 to 40 of about 401 (140)
Convergence of Picard–CR Iterative Algorithm and Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In applied mathematics, graph theory (GT) is a notably compelling area of study. In the last 50 years, the number of mathematicians making contributions to research in this field has consistently increased. This rising interest is mainly a result of the significant real‐world applications it offers.
Suheyla Elmas, Marko Kostic
wiley +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
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Significance of F‐Contraction After Proinov’s Fixed‐Point Results
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Wardowski laid out his idea of an F‐contraction mapping, which provides an imperative generalization of the Banach contraction principle, back in 2012. Although Wardowski’s work has generated considerable interest in fixed‐point theory, motivating many researchers to extend these results to more general spaces, to investigate broader classes of ...
Naeem Saleem +4 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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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper is devoted to the analysis of controllability for a class of backward fractional integro‐differential equations involving history‐dependent operators, which arise naturally in systems with memory effects. The study begins with the formulation of an appropriate functional framework, within which the concept of approximate controllability is ...
Ghadah Albeladi +2 more
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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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Journal of Function Spaces, Volume 2026, Issue 1, 2026.The aim of this paper is to present a novel stationary and nonstationary iterative approach for approximating common fixed points of a finite family of generalized nonexpansive mappings in uniformly convex Banach spaces. For the stationary scheme, both strong and weak convergence theorems are established under standard geometric conditions.
Sehar Afsheen +4 more
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KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we develop a comprehensive analytical framework for generalized nonlinear, nonhomogeneous Volterra integral equations and fractional differential equations in b‐metric spaces equipped with amorphous binary relations. By introducing an enriched (f, ϕ, ψ, s)‐functional contraction, we extend classical contractive conditions to accommodate ...
D. Srinivasan +2 more
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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
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