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Uniformly smooth space

In mathematics, a uniformly smooth space is a normed vector space satisfying the property that for every there exists such that if with and then The… 
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Convex analysis
Modulus and characteristic of convexityUniformly convex space

Papers overview

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2018
2018
The implicit midpoint rule of nonexpansive mappings and applications in uniformly smooth Banach spaces
Let K be a nonempty closed convex subset of a Banach space E and T : K → K be a nonexpansive mapping. Using a viscosity… 
2016
2016
Strong convergence theorems for the generalized viscosity implicit rules of nonexpansive mappings in uniformly smooth Banach spaces
The aim of this paper is to introduce the generalized viscosity implicit rules of one nonexpansive mapping in uniformly smooth… 
2013
2013
A general iteration scheme for variational inequality problem and common fixed point problems of nonexpansive mappings in q-uniformly smooth Banach spaces
In this paper, we introduce a general iterative algorithm for finding a common element of the set of common fixed points of an… 
2012
2012
Duality Fixed Point and Zero Point Theorems and Applications
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… 
2012
2012
Sensitivity Analysis for a System of Extended Generalized Nonlinear Quasi-Variational Inclusions in q-Uniformly Smooth Banach Spaces
In this paper, we study the behavior and sensitivity analysis of the solution set for a new system of extended generalized… 
2010
2010
Convergence theorems for λ-strict pseudo-contractions in q-uniformly smooth Banach spaces
In this paper, we continue to discuss the properties of iterates generated by a strict pseudocontraction or a finite family of… 
2010
2010
A Generalized Nonlinear Random Equations with Random Fuzzy Mappings in Uniformly Smooth Banach Spaces
We introduce and study the general nonlinear random -accretive equations with random fuzzy mappings. By using the resolvent… 
2008
2008
ALMOST STABLE ITERATION SCHEMES FOR LOCAL STRONGLY PSEUDOCONTRACTIVE AND LOCAL STRONGLY ACCRETIVE OPERATORS IN REAL UNIFORMLY SMOOTH BANACH SPACES
In this paper we establish the strong convergence and almost stability of the Ishikawa iteration methods with errors for the… 
2007
2007
Sensitivity analysis for parametric general set-valued mixed varitional-like inequality in uniformly smooth Banach space
In this paper, using the concept of P η -proximal mapping, we study the existence and sensitivity analysis of solution of a… 
2006
2006
Parametric general variational-like inequality problem in uniformly smooth Banach space
Using the concept of - -proximal mapping, we study the existence and sensitivity analysis of solution of a parametric general… 
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