On the Convergence of Some Iteration Processes in Uniformly Convex Banach Spaces [PDF]
Proceedings of the American Mathematical Society, 1978 For the approximation of fixed points of a nonexpansive operator T it a uniformly convex Banach space E the convergence of the Mann-Toeplitz iteration x.+, = a5T(x.) + (1 aj)x,, is studied.
J. Gwinner
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Separated sequences in asymptotically uniformly convex Banach spaces [PDF]
Colloquium Mathematicum, 2010 We prove that the unit sphere of every infinite-dimensional Banach space X contains an α-separated sequence, for every 0 < α < 1 + δX(1), where δX denotes the modulus of asymptotic uniform convexity of X.
Sylvain Delpech
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Fixed point theorems in uniformly convex Banach spaces [PDF]
Ratio Mathematica, 2023 In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence.
Manoj Karuppasamy, R. Jahir Hussain
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Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces [PDF]
Discrete Dynamics in Nature and Society, 2010 We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space.
Murat Ozdemir +2 more
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A Generalization of Uniformly Extremely Convex Banach Spaces [PDF]
Journal of Function Spaces, 2016 We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes ofk-uniformly rotund spaces andk-strongly convex spaces or classes of fullyk-convex spaces andk-strongly convex spaces and has no ...
Suyalatu Wulede +2 more
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Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications [PDF]
Abstract and Applied Analysis, 2010 We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the ...
Somyot Plubtieng, Wanna Sriprad
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Mann-Type Viscosity Approximation Methods for Multivalued Variational Inclusions with Finitely Many Variational Inequality Constraints in Banach Spaces [PDF]
Abstract and Applied Analysis, 2013 We introduce Mann-type viscosity approximation methods for finding solutions of a multivalued variational inclusion (MVVI) which are also common ones of finitely many variational inequality problems and common fixed points of a countable family of ...
Lu-Chuan Ceng +2 more
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A random fixed point theorem for multivalued nonexpansive operators in uniformly convex Banach spaces [PDF]
, 1993 Let (Ω, Σ) be a measurable space with Σ a sigma-algebra of subsets of Ω, and let C be a nonempty, bounded, closed, convex, and separable subset of a uniformly convex Banach space X. It is shown that every multivalued nonexpansive random operator T: Ω × C
Hong Kun Xu
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Directional Differentiability of the Metric Projection in Uniformly Convex and Uniformly Smooth Banach Spaces [PDF]
arXiv, 2023 Let X be a real uniformly convex and uniformly smooth Banach space and C a nonempty closed and convex subset of X. Let Pc from X to C denote the (standard) metric projection operator.
Li, Jinlu
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Some strongly bounded classes of Banach spaces [PDF]
arXiv, 2006 We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th.
Dodos, Pandelis, Ferenczi, Valentin
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