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

Fixexd point theory and applications

J Vahidi¹  M Eslamian¹  A Latif² 

[1] Department of Applied Mathematics, Mazandaran University of Science and Technology, Behshahr, Iran;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: Ky Fan inequality;    strict pseudo-contractive mapping;    multivalued nonexpansive mapping;    common fixed point;   

DOI  :  10.1186/1687-1812-2013-213

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:47H10, 65K10, 65K15, 90C25.

【 授权许可】

CC BY