Displaying similar documents to “An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings”

Strong convergence of an iterative method for variational inequality problems and fixed point problems

Xiao Long Qin, Shin Min Kang, Yong Fu Su, Mei Juan Shang (2009)

Archivum Mathematicum

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In this paper, we introduce a general iterative scheme to investigate the problem of finding a common element of the fixed point set of a strict pseudocontraction and the solution set of a variational inequality problem for a relaxed cocoercive mapping by viscosity approximate methods. Strong convergence theorems are established in a real Hilbert space.

A Recession Notion for a Class of Monotone Bivariate Functions

Moudafi, A. (2000)

Serdica Mathematical Journal

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Using monotone bifunctions, we introduce a recession concept for general equilibrium problems relying on a variational convergence notion. The interesting purpose is to extend some results of P. L. Lions on variational problems. In the process we generalize some results by H. Brezis and H. Attouch relative to the convergence of the resolvents associated with maximal monotone operators.