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On a fixed point theorem on uniformly convex Banach spaces
1982Let \(K\) be a bounded closed convex subset of a Banach space \(X\), having normal structure (i.e. for every closed convex \(H\subset K\) there is an \(x\in H\) such that \(\sup \{\| y-x\|:y\in H\}
VEERAMANI, P, PAI, DV
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AMENABLE SEMIGROUPS OF NONLINEAR OPERATORS IN UNIFORMLY CONVEX BANACH SPACES
Bulletin of the Australian Mathematical Society, 2018In 1965, Browder proved the existence of a common fixed point for commuting families of nonexpansive mappings acting on nonempty bounded closed convex subsets of uniformly convex Banach spaces. The purpose of this paper is to extend this result to left amenable semigroups of nonexpansive mappings.
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Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces
Nonlinear Analysis: Theory, Methods & Applications, 2013Let \(C\) be a bounded, closed and convex subset of a uniformly convex and uniformly smooth Banach space. Using some typical assumptions, the author shows that the generalized Mann and Ishikawa iterations converge weakly to a fixed point of an asymptotic pointwise nonexpansive map \(T\) from \(C\) to itself.
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On Nearest Points of Sets in Uniformly Convex Banach Spaces
Journal of the London Mathematical Society, 1968openaire +1 more source
Remarks on Minimal Sets for Cyclic Mappings in Uniformly Convex Banach Spaces
Numerical Functional Analysis and Optimization, 2017Moosa Gabeleh
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A uniformly convex Banach space whose subspaces fail Gordon-Lewis property
Archiv Der Mathematik, 1998Valentin Ferenczi
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Locally uniformly rotund points in convex-transitive Banach spaces
Journal of Mathematical Analysis and Applications, 2009Julio Becerra Guerrero +1 more
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