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

Zhenhua He | Zendy; Wei–Shih Du | Zendy

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

Author(s) -

Zhenhua He,

Wei–Shih Du

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/470354

Subject(s) - mathematics , variational inequality , monotone polygon , hilbert space , viscosity , convergence (economics) , fixed point , set (abstract data type) , iterative method , scheme (mathematics) , inverse , strongly monotone , point (geometry) , mathematical analysis , pure mathematics , mathematical optimization , geometry , computer science , physics , quantum mechanics , economics , programming language , economic growth

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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