Existence and approximation of solutions for system of generalized mixed variational inequalities

Fixexd point theory and applications

Shin Min Kang¹  Mohammad Saeed Khan²  Balwant Singh Thakur³ 

[1] Department of Mathematics and RINS, Gyeongsang National University, Jinju, Korea;Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Sultanate of Oman;School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, India

关键词: system of generalized mixed variational inequality;    fixed point problem;    resolvent operator technique;    relaxed cocoercive mapping;    maximal monotone operator;    parallel iterative algorithm;   

DOI  :  10.1186/1687-1812-2013-108

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which converges to its solution and common fixed points of two Lipschitzian mappings. Parallel algorithms are used, which can be used to simultaneous computation in multiprocessor computers. The results presented in this work are more general and include many previously known results as special cases. MSC:47J20, 65K10, 65K15, 90C33.

【 授权许可】

CC BY