Results 1 to 10 of about 55 (55)
Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +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
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
Journal of Mathematics, Volume 2026, Issue 1, 2026.This manuscript investigates certain fixed point outcomes for an extended almost weak contraction map in a metric space equipped with a locally transitive binary relation. The insights achieved here improve, broaden, solidify and advance a number of noteworthy findings.
Doaa Filali +6 more
wiley +1 more source
Common fixed points of set‐valued mappings
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 6, Page 411-415, 2001., 2001 The main purpose of this paper is to obtain a common fixed point for a pair of set‐valued mappings of Greguš type condition. Our theorem extend Diviccaro et al. (1987), Guay et al. (1982), and Negoescu (1989).
M. R. Singh, L. S. Singh, P. P. Murthy
wiley +1 more source
A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
wiley +1 more source
Common fixed point theorems for commuting k‐uniformly Lipschitzian mappings
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 145-152, 2001., 2001 We give a common fixed point existence theorem for any sequence of commuting k‐uniformly Lipschitzian mappings (eventually, for k = 1 for any sequence of commuting nonexpansive mappings) defined on a bounded and complete metric space (X, d) with uniform normal structure. After that we deduce, by using the Kulesza and Lim (1996), that this result can be
M. Elamrani, A. B. Mbarki, B. Mehdaoui
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents a novel class of paired contractions to establish fixed point results for multivalued mappings within the framework of partial metric spaces. Requirements for the existence of fixed points are investigated, and a few nontrivial instances are given to illustrate the usefulness and relevance of the proposed notions.
Rhoda Chiroma +5 more
wiley +1 more source
Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper examines generalized enriched contractions of the Boyd–Wong and Geraghty types within Banach spaces, expanding the classical concept of enriched operators. We establish the existence and uniqueness of fixed points for these contractions and analyze the convergence of Mann‐type iterative schemes specifically designed for these mappings.
Rekha Panicker +2 more
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The purpose of this article is to present some fixed point theorems to guarantee the existence and uniqueness of common fixed points for two mappings (not necessary continuous), satisfying generalized contractions involving rational expressions in the setting of extended parametric Sb‐metric spaces.
Naveen Mani +4 more
wiley +1 more source