Results 71 to 80 of about 4,222,348 (161)
Applied General TopologyLet E be a uniformly convex Banach space and C a nonempty closed bounded convex subset of E. Let Γ : C ⟶ C and G : C ⟶ C be enriched strictly pseudocontractive mapping and Φ Γ -enriched Lipschitzian mapping respectively.
Imo Kalu Agwu +2 more
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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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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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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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A uniformly convex Banach space with a Schauder basis which is subsymmetric but not symmetric
, 1976 An example of a uniformly convex Banach space with a basis ( x i ) ({x_i}) is contructed such that ( x i
Lakhpat R. Pujara
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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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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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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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A Generalization of Uniformly Extremely Convex Banach Spaces [PDF]
, 2020 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 of -uniformly rotund spaces and ...
Suyalatu Wulede +2 more
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