Results 51 to 60 of about 738 (182)
Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
Demonstratio Mathematica, 2020 In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
doaj +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, the existence of mild solutions for a class of noninstantaneous impulsive Caputo fractional integro‐differential equations subject to nonlocal conditions in Banach spaces is investigated. The problem is formulated in a general infinite‐dimensional setting so that systems involving memory effects and impulses acting over finite intervals ...
Hasanen A. Hammad +2 more
wiley +1 more source
Polynomial Fuzzy Contractions With Applications to SEIRV Epidemic Models
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this study, a new family of polynomial‐type fuzzy contractions defined on metric spaces is introduced. Under filtered assumptions, it is demonstrated that such non‐crisp set‐valued operators possess some fixed points. Because of the higher‐order terms polynomial nature of the contractions, a few important corollaries, some of which drop to existing ...
Maha Noorwali +2 more
wiley +1 more source
Nonexpansive mapping, Equilibrium problem, Fixed point, General system of variational inequality, 49J30, 49J40, 47H09, 47H10,
T. Thammathiwat, S. Plubtieng
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Fixed Point Theorems in 2- Metric Space with Continuous Convex Structure [PDF]
, 2016 In the present paper fixed point theorems are proved for 2- metric spaces with continous convex structure for more generalized conditions. AMS Mathematics Subject Classification (1991): 47H10, 54H25 Key words and phrases: convex metric space, fixed ...
Modi, Geeta +2 more
core
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
Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
Open Mathematics, 2017 The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph.
Kir Mehmet +2 more
doaj +1 more source
Some Fixed Point Theorems in Metric Space by using Altering Distance function [PDF]
, 2013 In this paper we prove some fixed point theorem in metric space by using altering distance function. AMS Subject Classification: 47H10, 54H25.
Tiwari, Ankur +3 more
core
Nonlinear approximation of an ACQ-functional equation in nan-spaces [PDF]
, 2011 In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of an additive-cubic-quartic functional equation in NAN-spaces.
Jung Lee +3 more
core +1 more source
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
wiley +1 more source