Results 81 to 90 of about 5,702 (174)
α-admissible mappings and related fixed point theorems
, 2013 In this paper, we prove the existence and uniqueness of a fixed point for certain α-admissible contraction mappings. Our results generalize and extend some well-known results on the topic in the literature.
N. Hussain +3 more
semanticscholar +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
Stability of common fixed points in uniform spaces
Fixed Point Theory and Applications, 2011 Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results.
Singh Shyam +2 more
doaj
Fixed point theorems for α-Geraghty contraction type maps in metric spaces
, 2013 In this paper, we introduce a notion of α-Geraghty contraction type maps in the setting of a metric space. We also establish some fixed point theorems for such maps and give an example to illustrate our results. Finally, we discuss the application of our
S. Cho, J. Bae, E. Karapınar
semanticscholar +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this study, we establish sufficient conditions for the existence and uniqueness of periodic solutions for a generalized nonlinear neutral delay differential equation with infinite delay, using Krasnoselskii’s fixed‐point theorem and the contraction mapping principle. We also prove the asymptotic stability of the trivial solution.
Mohamed Illafe +3 more
wiley +1 more source
Fixed Point Theory and Applications, 2011 In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj
A note on ‘A best proximity point theorem for Geraghty-contractions’
, 2013 In Caballero et al. (Fixed Point Theory Appl. (2012). doi:10.1186/1687-1812-2012-231), the authors prove a best proximity point theorem for Geraghty nonself contraction.
Jingling Zhang +2 more
semanticscholar +1 more source
Fixed points for generalized (α,ψ)-contractions on generalized metric spaces
, 2014 In this paper, we introduce some generalized (α,ψ)-contractive mappings in the setting of generalized metric spaces and, based on the very recent paper (Kirk and Shahzad in Fixed Point Theory Appl.
H. Aydi, E. Karapınar, B. Samet
semanticscholar +1 more source
Composite iterative schemes for maximal monotone operators in reflexive Banach spaces
Fixed Point Theory and Applications, 2011 In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol +2 more
doaj
Open Mathematics, 2018 In this work, we introduce the notions of (s, p, α)-quasi-contractions and (s, p)-weak contractions and deduce some fixed point results concerning such contractions, in the setting of b-metric-like spaces.
Zoto Kastriot +2 more
doaj +1 more source