Common Attractive Point Results for Two Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]
, 2022 Chadarat Thongphaen +3 more
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Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings
Fixed Point Theory and Applications, 2008 We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a
Satit Saejung, Weerayuth Nilsrakoo
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On some fixed point theorems on uniformly convex Banach spaces
Journal of Mathematical Analysis and Applications, 1992 The author introduces the concept of \(T\)-regularity and generalizes a well known fixed point theorem of \textit{F. E. Browder} [Proc. Nat. Acad. Sci. USA 54, 1041-1043 (1965; Zbl 0128.358)]. Let \(X\) be a vector space and \(A\) be a subset of \(X\). \(A\) is said to be a \(T\)-regular set if and only if (i) \(T: A\to A\); (ii) \({1\over 2}(x+Tx)\in ...
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Nonlinear AnalysisThis paper presents an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth uniformly convex Banach space with respect to a left-regular sequence of means defined on a subset of l∞(S).
Ebrahim Soori +2 more
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A quantitative mean ergodic theorem for uniformly convex Banach spaces – ERRATUM [PDF]
, 2009 Ulrich Kohlenbach, Laurenţiu Leuştean
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Strongly unique best approximation in uniformly convex Banach spaces
Journal of Approximation Theory, 1989 Let Y be a closed subspace of a Banach space X. An element \(z\in Y\) is called a strongly unique best approximation of order \(\alpha\) \((\alpha >1)\) at x, if for some \(M>0\) there exists \(\gamma =\gamma (x,M)>0\) such that, for all \(y\in Y\) with \(\| y-z\| \leq M\), \(\| y-x\| \geq \| z-x\| +\gamma \| y-z\|^{\alpha}.\) Results concerning strong
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An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators. [PDF]
Heliyon, 2023 Ma YK +4 more
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Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]
, 2014 Qiaohong Jiang +2 more
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No-Dimensional Helly’s Theorem in Uniformly Convex Banach Spaces
Studia Scientiarum Mathematicarum HungaricaWe study the “no-dimensional” analogue of Helly’s theorem in Banach spaces. Specifically, we obtain the following no-dimensional Helly-type results for uniformly convex Banach spaces: Helly’s theorem, fractional Helly’s theorem, colorful Helly’s theorem, and colorful fractional Helly’s theorem.The combinatorial part of the proofs for these Helly-type ...
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Asymptotic behavior of periodic nonexpansive evolution operators in uniformly convex Banach spaces
, 1986 Kazuo Kobayasi
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