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Locally Uniformly Convex Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1955 which we shall call local uniform convexity. Geometrically this differs from uniform convexity in that it is required that one end point of the variable chord remain fixed. In section I we prove a general theorem on the product of locally uniformly convex Banach spaces and with the aid of this theorem we establish that the two notions are actually ...
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Journal of Applied Mathematics, 2013 We introduce composite implicit and explicit iterative algorithms for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a real smooth and uniformly convex Banach space.
Lu-Chuan Ceng, Ching-Feng Wen
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Axioms, 2023 In this manuscript, we investigate some convergence and stability results for reckoning fixed points using a faster iterative scheme in a Banach space. Also, weak and strong convergence are discussed for close contraction mappings in a Banach space and ...
Hasanen A. Hammad, Doha A. Kattan
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Duality Fixed Point and Zero Point Theorems and Applications
Abstract and Applied Analysis, 2012 The following main results have been given. (1) Let E be a p-uniformly convex Banach space and let T:E→E* be a (p-1)-L-Lipschitz mapping with condition ...
Qingqing Cheng +2 more
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The New Iterative Approximating of Endpoints of Multivalued Nonexpansive Mappings in Banach Spaces
Universal Journal of Mathematics and Applications, 2022 The purpose of this paper is to introduce the new iteration process to approximate endpoints of multivalued nonexpansive mappings in Banach space. We prove weak and strong convergence theorems of proposed iterative scheme under some suitable assumptions
Makbule Kaplan
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Separated sequences in uniformly convex Banach spaces [PDF]
Colloquium Mathematicum, 2005 A well-known result of \textit{J. Elton} and \textit{E. Odell} [Colloq.\ Math.\ 44, 105--109 (1981; Zbl 0493.46014)] states that, for any normed linear space \(X\), there exists \(r>1\) and a sequence \((x_n)\) of norm-one elements in \(X\) such that \(\| x_m-x_n\| \geq r\) whenever \(m\neq n\). Such a sequence is called an \(r\)-separated sequence. In
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Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1999 Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in ...
Balwant Singh Thakur, Jong Soo Jung
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Manifolds of semi-negative curvature [PDF]
, 2010 This paper studies the metric structure of manifolds of semi-negative curvature. Explicit estimates on the geodesic distance and sectional curvature are obtained in the setting of homogeneous spaces G/K of Banach–Lie groups, and a characterization of ...
Conde, Cristian Marcelo +1 more
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Abstract and Applied Analysis, 2013 We introduce hybrid and relaxed Mann iteration methods for a general system of variational inequalities with solutions being also common solutions of a countable family of variational inequalities and common fixed points of a countable family of ...
L. C. Ceng +3 more
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Nonlinear Ergodic Theorems for Semigroups of Non-Lipschitzian Mappings in Banach Spaces II [PDF]
, 2001 Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S = {T(t); t ≥ 0} be a nonlinear semigroup of non-Lipschitzian mappings on C which is asymptotically nonexpansive in the intermediate sense. In this paper we study
Miyadera, Isao
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