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Viscosity Iterative Schemes for Finding Split Common Solutions of Variational Inequalities and Fixed Point Problems

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  • Zhenhua He
  • Wei-Shih Du

Abstract

We introduce some new iterative schemes based on viscosity approximation method for finding a split common element of the solution set of a pair of simultaneous variational inequalities for inverse strongly monotone mappings in real Hilbert spaces with a family of infinitely nonexpansive mappings. Some strong convergence theorems are also given. Our results generalize and improve some well‐known results in the literature and references therein.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:470354
DOI: 10.1155/2012/470354
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