The Experts below are selected from a list of 9252 Experts worldwide ranked by ideXlab platform
A. T. Bharucha-reid - One of the best experts on this subject based on the ideXlab platform.
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Measures of Noncompactness and Fixed Points of Random Operations.
Stochastic Analysis and Applications, 2007Co-Authors: P S Chandrasekharan, A. T. Bharucha-reidAbstract:Abstract : The purpose of this paper is to consider some measures of noncompactness and their application to fixed point theorems for random Operators. In a subsequent paper we will consider applications of these results to random operator equations. This paper is not the first to consider measures of noncompactness in probabilistic analysis. We refer to the book of Constantin and Istratescu for results on measures of noncompactness and probabilistic metric spaces. Section 2 gives some basic definitions of measures of noncompactness, and lists their properties. Section 3 is devoted to applications of measures of noncompactness to fixed point theorems for random Operators. Keywords include: Operators (Mathematics), Probability, Noncompactness.
Mohammad Ali Alghamdi - One of the best experts on this subject based on the ideXlab platform.
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Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems
Fixed Point Theory and Applications, 2012Co-Authors: Habtu Zegeye, Naseer Shahzad, Mohammad Ali AlghamdiAbstract:We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for continuous monotone mapping, solution of equilibrium problem and a common fixed point of finite family of asymptotically regular uniformly continuous relatively asymptotically nonexpansive mappings in Banach spaces. Our scheme does not involve computation of Cn+1from C n for each n ≥ 1. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear Operators. Mathematics Subject Classification (2000): 47H05, 47H09, 47H10, 47J05, 47J25
Hitta Amara - One of the best experts on this subject based on the ideXlab platform.
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Some Results in Fredholm Theory via The Measure of Noncompactness
Applied mathematical sciences, 2015Co-Authors: Saoudi Khaled, Hitta AmaraAbstract:Let A be a bounded linear operator in a complex Banach space X. We show that IdX A is a Fredholm operator provided that A has a suciently small polynomially measure of noncompactness. In our general framework, we note that the case of Riesz operator becomes a particular one as it is for the other results in the domain. This enable us to obtain a new characterization for the Weyl essential spectrum of a closed densely dened Operators. Mathematics Subject Classication: 47A53, 47A55
P S Chandrasekharan - One of the best experts on this subject based on the ideXlab platform.
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Measures of Noncompactness and Fixed Points of Random Operations.
Stochastic Analysis and Applications, 2007Co-Authors: P S Chandrasekharan, A. T. Bharucha-reidAbstract:Abstract : The purpose of this paper is to consider some measures of noncompactness and their application to fixed point theorems for random Operators. In a subsequent paper we will consider applications of these results to random operator equations. This paper is not the first to consider measures of noncompactness in probabilistic analysis. We refer to the book of Constantin and Istratescu for results on measures of noncompactness and probabilistic metric spaces. Section 2 gives some basic definitions of measures of noncompactness, and lists their properties. Section 3 is devoted to applications of measures of noncompactness to fixed point theorems for random Operators. Keywords include: Operators (Mathematics), Probability, Noncompactness.
Habtu Zegeye - One of the best experts on this subject based on the ideXlab platform.
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Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems
Fixed Point Theory and Applications, 2012Co-Authors: Habtu Zegeye, Naseer Shahzad, Mohammad Ali AlghamdiAbstract:We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for continuous monotone mapping, solution of equilibrium problem and a common fixed point of finite family of asymptotically regular uniformly continuous relatively asymptotically nonexpansive mappings in Banach spaces. Our scheme does not involve computation of Cn+1from C n for each n ≥ 1. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear Operators. Mathematics Subject Classification (2000): 47H05, 47H09, 47H10, 47J05, 47J25