Results 71 to 80 of about 741 (181)
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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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, our goal is to prove the existence of a weak solution (in H01Ω) for a fully nonlinear Dirichlet problem with a nonmonotone (e.g., Lipschitz) convection function F that depends on ∇u, and a nonlinearity G that is not necessarily monotone and depends on the solution function u, and the higher order term is −ΔΓ(x, u) − diva(x, u, ∇u ...
Teffera M. Asfaw +3 more
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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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Convergences of Weighted Averaged Operators in p‐Uniformly Convex Metric Spaces
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper presents improvements to theorems concerning the △‐convergence of iterative sequences in p‐uniformly convex metric spaces. The analysis focuses on sequences generated by weighted average operators applied to pairs of simultaneous quasi‐nonexpansive mappings.
Anawat Rodchan +2 more
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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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Fixed point theorems for nonexpansive mappings [PDF]
Pacific Journal of Mathematics, 1972 The notions of nonexpansive, contractive, iteratively contractive and strictly contractive mappings have been generalized to a Hausdorff topological space whose topology is generated by a family of pseudometries . A fixed point theorem for strictly contractive mappings is obtained which generalizes the Banach's contractive mapping principle.
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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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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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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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