Results 81 to 90 of about 722 (183)
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 strong law of large numbers for independent compactly uniformly integrable random sets [PDF]
Arab Journal of Mathematical SciencesPurposeThe aim of this work is to prove a strong law of large numbers for a sequence of independent compactly uniformly integrable random sets with values in the family of convex closed subsets of a separable Banach space E, again without requiring any ...
Mohammed El Allali +2 more
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Existence and decay of solutions of some nonlinear parabolic variational inequalities
International Journal of Mathematics and Mathematical Sciences, 1980 This paper discusses the existence and decay of solutions u(t) of the variational inequality of parabolic type: ≧0for ∀v∈Lp([0,∞);V)(p≧2) with v(t)∈K a.e.
Mitsuhiro Nakao, Takashi Narazaki
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k-β and k-nearly uniformly convex Banach spaces
Journal of Mathematical Analysis and Applications, 1991 Some new geometrical uniform properties of a Banach space are introduced. The exact relationships with the old ones (such as uniform rotundity, near uniform convexity, etc.) are also discussed.
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Fixed Point Theory and Applications, 2010 For a countable family of strictly pseudo-contractions, a strong convergence of viscosity iteration is shown in order to find a common fixed point of in either a p-uniformly convex Banach space which admits a weakly continuous duality mapping or a p-
Wangkeeree Rabian, Kamraksa Uthai
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No-Dimensional Helly’s Theorem in Uniformly Convex Banach Spaces
Studia Scientiarum Mathematicarum HungaricaWe study the “no-dimensional” analogue of Helly’s theorem in Banach spaces. Specifically, we obtain the following no-dimensional Helly-type results for uniformly convex Banach spaces: Helly’s theorem, fractional Helly’s theorem, colorful Helly’s theorem, and colorful fractional Helly’s theorem. The combinatorial part of the proofs for
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Denseness of Numerical Radius Attaining Holomorphic Functions
Journal of Inequalities and Applications, 2009 We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space X is locally uniformly convex, then the set of all numerical ...
Han Ju Lee
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Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings
Fixed Point Theory and Applications, 2008 We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a
Satit Saejung, Weerayuth Nilsrakoo
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Nonlinear AnalysisThis paper presents an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth uniformly convex Banach space with respect to a left-regular sequence of means defined on a subset of l∞(S).
Ebrahim Soori +2 more
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Continuity of metric projections in uniformly convex and uniformly smooth Banach spaces
Journal of Approximation Theory, 1983 The continuity of the metric projection onto an approximately compact set in a uniformly convex and uniformly smooth Banach space is investigated. The concept of directional radius of curvature at a point is defined: this allows the author to obtain an explicit modulus of continuity for the metric projection onto some sets (which are not necessarily ...
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