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Start Over Author "Sahu, D. R." Topic stochastic convergence Journal journal of applied mathematics

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1. Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems.

Author

Sahu, D. R., Kang, Shin Min, and Sagar, Vidya

Subjects
*APPROXIMATION theory, *FIXED point theory, *MATHEMATICAL sequences, *NONEXPANSIVE mappings, *VARIATIONAL inequalities (Mathematics), *PROBLEM solving, *HILBERT space, *STOCHASTIC convergence
Abstract

We introduce an explicit iterative scheme for computing a common fixed point of a sequence of nearly nonexpansive mappings defined on a closed convex subset of a real Hilbert space which is also a solution of a variational inequality problem. We prove a strong convergence theorem for a sequence generated by the considered iterative scheme under suitable conditions. Our strong convergence theorem extends and improves several corresponding results in the context of nearly nonexpansive mappings. [ABSTRACT FROM AUTHOR]

Published
2012
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