Results 41 to 50 of about 738 (182)
Journal of Function Spaces, Volume 2026, Issue 1, 2026.The present paper develops a new two‐step iterative method, referred to as the P∗ iteration, for the approximation of fixed points of weak contractions mappings in Banach spaces. The theoretical analysis establishes the strong convergence of the proposed scheme to the unique fixed point, along with its almost I‐stability.
Poonam Yadav +3 more
wiley +1 more source
An Innovative Approach to the Product of k-Hybrid Functional Integral Equation
Abstract and Applied AnalysisMSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and ...
A. M. A. El-Sayed, Sh. M. Al-Issa
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
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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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A Theorem of the Alternative in Noncompact Topological Semilattices With Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we establish a theorem of the alternative in noncompact topological semilattices. From this theorem, we derive existence theorems for both fixed points and maximal elements of set‐valued mappings. We also prove a von Neumann‐type minimax theorem for functions defined on the product of noncompact topological semilattices.
Tianyu Lu +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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Fixed Point Property for Nonexpansive Mappings and Reflexivity: A Hilbert C∗‐Module Approach
Journal of Function Spaces, Volume 2026, Issue 1, 2026.We prove that for any infinite‐dimensional Hilbert space H, there exists a sequence of infinite‐dimensional, full Hilbert C∗‐modules over K(H)—the C∗‐algebra of compact operators on H—each of which is isomorphic to H and has the fixed point property for nonexpansive mappings (FPP).
Kourosh Nourouzi, Seppo Hassi
wiley +1 more source
A new result on Branciari metric space using (α, γ)-contractive mappings
Topological Algebra and its Applications, 2022 In this work, a new common fixed point result by generalized contractive functions fulfilling the type of admissibility condition in a Hausdorff Branciari metric space with the support of C-functions, was obtained.
Patil Jayashree +4 more
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Best Proximity Point Results in Graphical Metric Space and Application
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This article introduces and investigates the notion of (Ψ, K)‐quasi graphical proximal contraction mappings within the framework of graphical metric spaces. We establish several best proximity point theorems for such mappings under appropriate structural and completeness assumptions.
Sadia Farooq, Naeem Saleem, Gopi Prasad
wiley +1 more source
Common Fixed Points for Expansive Mappings in Cone Metric Spaces [PDF]
, 2011 Common fixed point results are obtained for pairs of expansive mappings in cone metric spaces. Thus, various results from metric spaces are extended to this new setting.
Stojan Radenović +2 more
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