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

Zhenhua He and Wei-Shih Du

Abstract and Applied Analysis, 2012, vol. 2012, 1-25

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:470354

DOI: 10.1155/2012/470354

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