Results 21 to 30 of about 173,242 (326)
Iterative methods for monotone nonexpansive mappings in uniformly convex spaces
Advances in Nonlinear Analysis, 2021 We show the nonlinear ergodic theorem for monotone 1-Lipschitz mappings in uniformly convex spaces: if C is a bounded closed convex subset of an ordered uniformly convex space (X, ∣·∣, ⪯), T:C → C a monotone 1-Lipschitz mapping and x ⪯ T(x), then the ...
Shukla Rahul, Wiśnicki Andrzej
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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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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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Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in Euclidean space [PDF]
, 2014 We prove $\epsilon$-closeness of hypersurfaces to a sphere in Euclidean space under the assumption that the traceless second fundamental form is $\delta$-small compared to the mean curvature.
Scheuer, Julian
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Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications
Abstract and Applied Analysis, 2010 We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the ...
Somyot Plubtieng, Wanna Sriprad
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Journal of Inequalities and Applications, 2019 Let Y be a uniformly convex multi-Banach space which has not a Frechet differentiable norm. We use the technique of product net to obtain the nonlinear ergodic theorems in Y.
H. M. Kenari +2 more
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Fixed points and common points for fundamentally nonexpansive mappings on banach spaces [PDF]
Journal of Hyperstructures, 2015 In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact ...
Moohammad Moosaei
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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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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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Examples of k-iterated spreading models
, 2011 It is shown that for every $k\in\mathbb{N}$ and every spreading sequence $\{e_n\}_{n\in\mathbb{N}}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n\in\mathbb{N}}$ as a $k+1$-
Argyros, Spiros A., Motakis, Pavlos
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