Results 101 to 110 of about 31,296 (239)
Weak convergence theorem for Passty type asymptotically nonexpansive mappings
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we prove a convergence theorem for Passty type asymptotically nonexpansive mappings in a uniformly convex Banach space with Fréchet-differentiable norm.
B. K. Sharma, B. S. Thakur, Y. J. Cho
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Fixed Point Theory and Applications, 2018 Let C be a nonempty closed and convex subset of a uniformly smooth and 2-uniformly convex real Banach space E with dual space E∗ $E^{*}$. In this paper, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to ...
C. E. Chidume, M. O. Nnakwe
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Approximating fixed points of nonexpansive type mappings
International Journal of Mathematics and Mathematical Sciences, 2001 In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for nonexpansive type mappings under certain conditions.
Hemant K. Pathak, Mohammad S. Khan
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Fibers over the sphere of a uniformly convex Banach space.
Michigan Mathematical Journal, 1998 Let \(B\) be the open unit ball of an infinite-dimensional complex Banach space \(X\). In this paper the author studies the boundary behavior of bounded analytic functions on \(B\) when \(X\) is uniformly convex. Several interesting results are obtained regarding the structure of the spectrum of \(H^\infty (B)\).
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Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces
Journal of Mathematical Analysis and Applications, 2006 AbstractWe study the support and convergence conditions for a metric space to be coarsely embeddable into a uniformly convex Banach space. By using ultraproducts we also show that the coarse embeddability of a metric space into a uniformly convex Banach space is determined by its finite subspaces.
Jinxiu Li, Qin Wang
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Journal of Applied Mathematics, 2012 We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and
Kamonrat Nammanee +2 more
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Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2005 Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover,
Somyot Plubtieng, Rabian Wangkeeree
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Mathematical Modelling and Analysis, 2016 In this paper, we investigate and analyze a proximal point algorithm via viscosity approximation method with error. This algorithm is introduced for finding a common zero point for a countable family of inverse strongly accretive operators and a ...
Khanittha Promluang +2 more
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Common Fixed Points of Three Multivalued Nonexpansive Random Operators For One Step Iterative Scheme
Ibn Al-Haitham Journal for Pure and Applied SciencesIn this paper, we introduce a new one-step iteration process in Banach space and prove the existence of a common random fixed point of three non-expansive multivalued random operators through strong and weak convergences of an iterative process.
Sabah Hassan Malih +2 more
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Local uniform convexity and Kadec-Klee type properties in K-interpolation spaces I: General Theory
Journal of Function Spaces and Applications, 2004 We present a systematic study of the interpolation of local uniform convexity and Kadec-Klee type properties in K-interpolation spaces. Using properties of the K-functional of J.Peetre, our approach is based on a detailed analysis of properties of a ...
Peter G. Dodds +3 more
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