An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings

Suvarnamani, Alongkot; Tatong, Mongkol

doi:10.5817/am2012-1-45

Arch. Math. (Brno)

2012

DOI: 10.5817/am2012-1-45

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An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings

Alongkot Suvarnamani¹,

Mongkol Tatong²

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2014

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Applications of the Extragradient Approximation Method for Variational Inequality Problem on Fixed Point Problem

Suvarnamani¹,

Tatong²

2014

Int. J. of Pure and Appl. Math.

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Abstract:We apply an iterative sequence for finding the common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for tree inverse-strongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply to finding solutions of a general system of variational inequality and a zero of a maximal monotone operator in a real Hilbert space. As applications, at the end of paper we utilize our results to study the zeros of the maximal monotone and some convergence problem for strictly pseudocontractive mappings.

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Applications of the Extragradient Approximation Method for Variational Inequality Problem on Fixed Point Problem

Suvarnamani¹,

Tatong²

2014

Int. J. of Pure and Appl. Math.

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show abstract

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An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings

Cited by 1 publication

References 16 publications

Applications of the Extragradient Approximation Method for Variational Inequality Problem on Fixed Point Problem

Applications of the Extragradient Approximation Method for Variational Inequality Problem on Fixed Point Problem

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