Results 71 to 80 of about 757 (180)
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
Abstract and Applied Analysis, 2010 Let E be a real Banach space which is uniformly smooth and uniformly convex. Let K be a nonempty, closed, and convex sunny nonexpansive retract of E, where Q is the sunny nonexpansive retraction. If E admits weakly sequentially continuous duality mapping
Yekini Shehu, Jerry N. Ezeora
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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
Journal of Applied Mathematics, 2012 We introduce a new regularization iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping. Then, we prove a strong convergence theorem for nonexpansive mappings to solve a unique solution of the variational inequality and the
Shuo Sun
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Journal of Function Spaces, 2019 In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized α-nonexpansive mapping in an ordered Banach space.
Yi-An Chen, Dao-Jun Wen
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A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space
Applied General Topology, 2019 The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions. A strong convergence of the proposed algorithm to
C. Izuchukwu +3 more
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On Enriched Suzuki Mappings in Hadamard Spaces
MathematicsWe define and study enriched Suzuki mappings in Hadamard spaces. The results obtained here are extending fundamental findings previously established in related research.
Teodor Turcanu, Mihai Postolache
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Mixed Approximation for Nonexpansive Mappings in Banach Spaces
Abstract and Applied Analysis, 2010 The mixed viscosity approximation is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable ...
Qing-Bang Zhang +2 more
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Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces [PDF]
Results in Nonlinear Analysis, 2018 In this paper, a new modified proximal point algorithm is proposed for finding a common element of the set of fixed points of a single-valued nonexpansive mapping, and the set of fixed points of a multivalued nonexpansive mapping, and the set of ...
Shengquan Weng , Dingping Wu
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پژوهشهای ریاضی, 2018 Introduction Let be a nonempty subset of a normed linear space . A self-mapping is said to be nonexpansive provided that for all . In 1965, Browder showed that every nonexpansive self-mapping defined on a nonempty, bounded, closed and convex subset of
Moosa Gabeleh
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