Results 61 to 70 of about 9,111 (245)
Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces
Journal of Applied Mathematics, 2012 The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to ...
Zhanfei Zuo
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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 +4 more
wiley +1 more source
Fixed-Point Theorems for Mean Nonexpansive Mappings in Banach Spaces
Abstract and Applied Analysis, 2014 We define a mean nonexpansive mapping T on X in the sense that Tx-Ty≤ax-y+bx-Ty, a,b≥0,a+b≤1. It is proved that mean nonexpansive mapping has approximate fixed-point sequence, and, under some suitable conditions, we get some existence and uniqueness ...
Zhanfei Zuo
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Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces [PDF]
Sahand Communications in Mathematical AnalysisIn 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
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The Knaster-Tarski theorem versus monotone nonexpansive mappings
, 2018 Let $X$ be a partially ordered set with the property that each family of order intervals of the form $[a,b],[a,\rightarrow )$ with the finite intersection property has a nonempty intersection.
Espínola, Rafael, Wiśnicki, Andrzej
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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 +4 more
wiley +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 +2 more
openaire +4 more sources
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 +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
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On the Monotone Variational Inclusion Problems: A New Algorithm‐Based Modified Splitting Approach
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce and analyze an inertial viscosity forward–backward splitting approach. We approximate a common solution of the monotone variational inclusion problem by using the demicontractive mapping in a real Hilbert space. It is shown that the sequence produced by our suggested algorithm has a strong convergence to a solution obtained ...
Uzoamaka A. Ezeafulukwe +6 more
wiley +1 more source