Results 51 to 60 of about 4,652 (229)

Approximating Fixed Points of Relatively Nonexpansive Mappings via Thakur Iteration [PDF]

, 2022
V. Pragadeeswarar, R. Gopi, Manuel De la Sen   +2 more
openalex   +1 more source

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +1 more source

Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we introduce a new notion of generalized Jaggi–Suzuki–type hybrid contraction in the setting of controlled metric space and prove some fixed point theorems by making use of the same. A suitable example is also provided to prove the validity of our results.
Swati Parashar, Manoj Kumar, Pankaj Kumar, Rahul Shukla, Birendra Nath Mandal   +4 more
wiley   +1 more source

Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping  in the setting of partially ordered hyperbolic spaces.
Samir Dashputre, Kavita Sakure
doaj   +1 more source

Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces [PDF]

Fixed Point Theory and Applications, 2009
AbstractThis paper provides a few convergence results of the Ishikawa iteration sequence with errors for nonexpansive and quasi-nonexpansive mappings in hyperspaces. The results presented in this paper improve and generalize some results in the literature.
Zeqing Liu, Jeong Sheok Ume, Shin Min Kang   +2 more
openaire   +4 more sources

Nonexpansive maps with surjective displacement [PDF]

Journal of Fixed Point Theory and Applications, 2021
We investigate necessary and sufficient conditions for a nonexpansive map $f$ on a Banach space $X$ to have surjective displacement, that is, for $f - \mathrm{id}$ to map onto $X$. In particular, we give a computable necessary and sufficient condition when $X$ is a finite dimensional space with a polyhedral norm.
openaire   +3 more sources

Fixed Point Theorems on Controlled Orthogonal δ‐Metric‐Type Spaces and Applications to Fractional Integrals

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we introduce a notion of controlled orthogonal δ‐metric‐type spaces with an example. Further, we prove a contraction theorem and a generalized fixed point theorem in controlled orthogonal δ‐metric‐type spaces. Finally, we illustrate two applications of the obtained fixed point results on the Atangana–Baleanu fractional integrals and ...
Benitha Wises Samuel, Gunaseelan Mani, Purushothaman Ganesh, Sabri T. M. Thabet, Imed Kedim, Samuel Nicolay   +5 more
wiley   +1 more source

Iterative Schemes of Mean Nonexpansive Mapping

Journal of Harbin University of Science and Technology, 2021
Based on Mann iteration, Ishikawa iteration and some other twostep iteration, threestep iteration methods, two new fourstep iteration schemes and one nstep iteration are constructed.
CUI Yunan , ZHANG Jiaxing
doaj   +1 more source

Approximating fixed points of nonexpansive and generalized nonexpansive mappings [PDF]

International Journal of Mathematics and Mathematical Sciences, 1991
في هذه الورقة، نعتبر رسم الخرائطSمن النموذجS=α0I+α1T+α2T2+...+αKTK، حيثαi≥0.α1>0مع α i=0kαi=1، ونوضح أنه في مساحة بنك محدبة بشكل موحد، تتقارب تكرارات Picard لـ S إلى نقطة ثابتة منTعندما يكونTغير موسع أو معمم غير موسع أو حتى شبه موسع.
Manoranjan Maiti, Biswajyoti Saha
openaire   +3 more sources

Investigating Nonlinear Activation Mechanism Through Fixed‐Circle Theorems of Enriched Multivalued Bilateral‐Type Contractions

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we present new results addressing the fixed‐circle and fixed‐disc problems through modification of the multivalued bilateral Jaggi‐type and Dass–Gupta‐type contractions. Furthermore, we demonstrate the application of these theorems to the nonlinear activation mechanism used in neural networks.
Saima Kanwal, Naeem Saleem, Ali Althobaiti, Samuel Nicolay   +3 more
wiley   +1 more source