Displaying similar documents to “Generalized fuzzy random set-valued mixed variational inclusions involving random nonlinear ( 𝐀 ω , η ω ) -accretive mappings in Banach spaces.”

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

Alongkot Suvarnamani, Mongkol Tatong (2012)

Archivum Mathematicum

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We introduce 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...

Random coincidence degree theory with applications to random differential inclusions

Enayet U, Tarafdar, P. Watson, George Xian-Zhi Yuan (1996)

Commentationes Mathematicae Universitatis Carolinae

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The aim of this paper is to establish a random coincidence degree theory. This degree theory possesses all the usual properties of the deterministic degree theory such as existence of solutions, excision and Borsuk’s odd mapping theorem. Our degree theory provides a method for proving the existence of random solutions of the equation L x N ( ω , x ) where L : dom L X Z is a linear Fredholm mapping of index zero and N : Ω × G ¯ 2 Z is a noncompact Carathéodory mapping. Applications to random differential inclusions are also...

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.