Results 91 to 100 of about 4,974,492 (203)
Constructions of Uniformly Convex Functions
, 2012 We give precise conditions under which the composition of a norm with a convex function yields a uniformly convex function on a Banach space. Various applications are given to functions of power type.
Jonathan M. Borwein, Jon Vanderwerff
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A New Iterative Scheme of Modified Mann Iteration in Banach Space
Abstract and Applied Analysis, 2014 We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space.
Jinzuo Chen, Dingping Wu, Caifen Zhang
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A note on best approximation and invertibility of operators on uniformly convex Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1991 It is shown that if X is a uniformly convex Banach space and S a bounded linear operator on X for which ‖I−S‖=1, then S is invertible if and only if ‖I−12S‖
James R. Holub
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Convergence of Panigrahy iteration process for Suzuki generalized nonexpansive mapping in uniformly convex Banach space [PDF]
Journal of HyperstructuresIn this paper, we establish strong and weak convergence theorems for Suzuki's generalized nonexpansive mapping in uniformly convex Banach spaces using the iterative scheme introduced by Panigrahy et al [9]. Next, we see an example of Suzuki's generalized
Omprash Sahu, Amitabh Banerjee
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The alternating algorithm in a uniformly convex and uniformly smooth Banach space
Journal of Mathematical Analysis and Applications, 2015 Let \(X\) be a uniformly convex Banach space and \(C\) a closed convex subset of \(X\). It is very well known that there exists a unique best approximation from \(C\), denoted by \(P_{C}(x),\) of every vector \(x\in X\). If you assume that \(M_{k}\), \(k=1, 2, \dots, r,\) are closed linear subspaces of a uniformly convex and uniformly smooth Banach ...
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Convergence of subdifferentials and normal cones in locally uniformly convex Banach space
, 2014 International audienceIn this paper we study the behaviour of normal cones and subdifferentials with respect to two types of convergence of sets and functions: Mosco and Attouch–Wets convergences.
Zakaryan, T., Thibault, L.
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Abstract and Applied Analysis, 2012 We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping {Ti} in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by
Aunyarat Bunyawat, Suthep Suantai
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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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Martingale representation in uniformly convex spaces
, 1979 In this paper we define the concept of a martingale in a uniformly convex Banach space and show that each bounded martingale is convergent and can be represented as a sequence of nearest point projections onto closed convex sets of one element of the ...
L. Rogge, D. Landers
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International Journal of Mathematics and Mathematical Sciences, 2009 We prove path convergence theorems and introduce a new iterative sequence for a countably infinite family of m-accretive mappings and prove strong convergence of the sequence to a common zero of these operators in uniformly convex real Banach space ...
E. U. Ofoedu, Y. Shehu
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