convex subset
Fixed point theorems for sum of two mappings on not necessarily convex subset of a locally convex space
... locally convex topological vector space, Cain and Nashed [2], extended Krasnoselskii’s result to the sum T + S of a contraction mapping T : X → E and a continuous mapping S : X → E, where X is a nonempty complete ...
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Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space
... are interested in a theoretical and computational framework for the sensitivity with respect to a class of mixed probability distributions which have an absolutely continuous component a[r] ...
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Extensions of best approximation and coincidence theorems
... Ding and Tan [9, Theorem 4]" X is a weakly compact convex subset of a locally convex Hausdorff topological vector space E, r, g lx, and F KX, w, E, T.. From Theorem 3.1, we obtain the fo[r] ...
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An algorithm with general errors for the zero point of monotone mappings in Banach spaces
... If in Theorem . and Theorem . we put u ≡ , we have the following corollaries. Corollary . Let C be a nonempty, closed, and convex subset of a uniformly smooth strictly convex real Banach space ...
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Fixed point theorems in convex metric spaces
... A convex metric space is a generalized ...a convex metric space and convex complete metric space, ...in convex metric ...closed convex subset of a convex complete metric ...
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Functionally closed sets and functionally convex sets in real Banach spaces
... approximately convex subset M of a linear normed space X, by denoting the multivalued mapping which puts into correspondence with each point x ∈ X, the set T x of all points y ∈ M which satisfy the ...
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Vol 3, No 2 (2012)
... Brouwder [1], Gohde [5], and Kirk [12], have independently proved the fixed point theorem for non–expansive mappings defined on a closed bounded and convex subset of a uniformly convex Banach space ...
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Convergence theorems of the sequence of iterates for a finite family asymptotically nonexpansive mappings
... Abstract. Let E be a uniformly convex Banach space, C a nonempty closed convex subset of E. In this paper, we introduce an iteration scheme with errors in the sense of Xu (1998) generated by { T j : ...
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Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces
... p-uniformly convex Banach space with uniformly Gˆateaux differentiable norm, and C a nonempty closed convex subset of E which has the fixed point property for nonexpansive ...
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Nonexpansive mappings defined on unbounded domains
... closed convex subset of a Banach space X, let F be a finite com- muting family of nonexpansive self-mappings of C, and suppose ( f n (p)) is bounded for some p ∈ C and all f ∈ F ...closed convex ...
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Continuity properties of projection operators
... closed convex subset of a uniformly convex Banach space is continuous (see, ...closed convex subset C is continuous with respect to C for the topology defined by the Hausdorff-Pompeiu ...
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Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices
... map defined on a closed convex subset of a Hilbert space. Very recently, Liu [] proved that Ky Fan’s Theorem is true for the -set-contractive maps defined on a bounded closed convex subset in ...
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Asymptotic behavior of almost orbits of reversible semigroups of non Lipschitzian mappings in Banach spaces
... Let C be a nonempty closed convex subset of a uniformly convex Banach space E Let G be a right reversible semitopological semigroup and let S {St t G} be a semigroup of and let {ut’t G} [r] ...
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Tangent cones, starshape and convexity
... Thus to try and find a pseudoconvex non-convex subset in Banach space one must look for badly non weakly compact subsets of non reflexive spaces... normed space however, any non-convex s[r] ...
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A simple algorithm for computing projection onto intersection of finite level sets
... the convex optimization problem, the variational inequality [], the split feasibility problem [–], and many other applied ...closed convex subset has no explicit expression (unless C is a closed ...
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Iterative methods for hierarchical common fixed point problems and variationalinequalities
... The purpose of this paper is to deal with the problem of finding hierarchically a common fixed point of a sequence of nearly nonexpansive self-mappings defined on a closed convex subset of a real Hilbert space ...
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On The Variational Principle and Entropy of Rotation Sets in Dynamical Systems
... This rotation set consists of all asymptotic average winding vectors exhibited by the system and is always a compact convex subset of the plane [11].The notion of the rotation numbers [r] ...
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New convex functions in linear spaces and Jensen’s discrete inequality
... In the present paper we introduce a new class of s-convex functions defined on a convex subset of a real linear space, establish some inequalities of Jensen’s type for this class of functions. Our ...
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Convergence theorems for generalized nonexpansive mappings in uniformly convex Banach spaces
... In this paper, we prove strong and weak convergence theorems for a mapping defined on a bounded, closed and convex subset of a uniformly convex Banach space, satisfying the RCSC condition. This ...
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Coupled fixed point theorems for asymptotically nonexpansive mappings
... uniformly convex Banach space, C be a nonempty bounded closed convex subset of ...continuous convex function f : [, +∞) → [, +∞) with f () = such that for any Lipschitzian mapping T : C × ...
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