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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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  • Zhenhua He & Wei-Shih Du, 2012. "Viscosity Iterative Schemes for Finding Split Common Solutions of Variational Inequalities and Fixed Point Problems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-25, November.
    • Handle: RePEc:hin:jnlaaa:470354
    DOI: 10.1155/2012/470354
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    Cited by:

    1. Yuanheng Wang & Cancan Li & Lirong Lu, 2020. "A New Algorithm for the Common Solutions of a Generalized Variational Inequality System and a Nonlinear Operator Equation in Banach Spaces," Mathematics, MDPI, vol. 8(11), pages 1-21, November.

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