New iterative scheme with strict pseudo-contractions and multivalued nonexpansive mappings for fixed point problems and variational inequality problems

被引：4

作者：

Vahidi, J. ^{[1
]}

Latif, A. ^{[2
]}

Eslamian, M. ^{[1
]}

机构：

[1] Mazandaran Univ Sci & Technol, Dept Appl Math, Behshahr, Iran

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

Ky Fan inequality; strict pseudo-contractive mapping; multivalued nonexpansive mapping; common fixed point; STRONG-CONVERGENCE THEOREMS; VISCOSITY APPROXIMATION METHODS; EQUILIBRIUM PROBLEMS; MONOTONE-OPERATORS; MIXED EQUILIBRIUM; WEAK; PSEUDOCONTRACTIONS; SET;

D O I：

10.1186/1687-1812-2013-213

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an iterative scheme for finding a common element of the sets of fixed points for multivalued nonexpansive mappings, strict pseudo-contractive mappings and the set of solutions of an equilibrium problem for a pseudomonotone, Lipschitz-type continuous bifunctions. We prove the strong convergence of the sequence, generated by the proposed scheme, to the solution of the variational inequality. Our results generalize and improve some known results.

引用

页数：13

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