Fixed Point Theorem for Non-Expansive Mappings on Banach Spaces with Unifformly Normal Structure [PDF]
, 1977 In [1] Kirk proved that if D is a bounded, closed, and convex subset of a reflexive Banach space that has normal structure, then every non-expansive mapping of D into D has a fixed point.
Gillespie, A. A., Williams, B. B.
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The Denjoy–Wolff Theorem in the Open Unit Ball of a Strictly Convex Banach Space
, 1999 LetXbe a complex strictly convex Banach space with an open unit ballB. For each compact, holomorphic and fixed-point-free mappingf: B→Bthere existsξ∈∂Bsuch that the sequence {fn} of iterates offconverges locally uniformly onBto the constant map taking ...
J. Kapeluszny, T. Kuczumow, S. Reich
semanticscholar +1 more source
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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A short note on the Radon-Riesz property for continuous Banach space valued functions [PDF]
arXiv, 2015 We present a generalization of the Radon-Riesz property to sequences of continuous functions with values in uniformly convex and uniformly smooth Banach spaces.
arxiv
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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Continuity of metric projections in uniformly convex and uniformly smooth Banach spaces
Journal of Approximation Theory, 1983 AbstractThe continuity of the metric projection onto an approximatively compact set in a uniformly convex and uniformly smooth Banach space is investigated. An explicit modulus of continuity for the metric projection which depends on the directional radius of curvature at a certain point of the set is obtained.
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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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Convergence theorems for common fixed point of the family of nonself and nonexpansive mappings in real Banach spaces [PDF]
, 2019 In this paper, we construct cyclic-Mann type of iterative method for approximating a common fixed point of the finite family of nonself and nonexpansive mappings satisfying inward condition on a non-empty, closed and convex subset of a real uniformly ...
Reddy, B. Krishna, Takele, Mollalgn H.
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Mordukhovich derivatives of the normalized duality mapping in Banach spaces [PDF]
arXivIn this paper, we investigate some properties of the Mordukhovich derivatives of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space lp; general Banach spaces L1 and C[0,1].
arxiv
The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Calc Var Partial Differ Equ, 2023 Sodini GE.
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