System of General Variational Inequalities Involving Different Nonlinear Operators Related to Fixed Point Problems and Its Applications

Fixexd point theory and applications

Narin Petrot¹  Issara Inchan² 

[1] Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Thailand;Department of Mathematics and computer, Faculty of Science and Technology, Uttaradit Rajabhat University, Uttaradit, Thailand

关键词: Hilbert Space;    Variational Inequality;    Differential Geometry;    Operator Relate;    Interesting Case;   

DOI  :  10.1155/2011/689478

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By using the projection methods, we suggest and analyze the iterative schemes for finding the approximation solvability of a system of general variational inequalities involving different nonlinear operators in the framework of Hilbert spaces. Moreover, such solutions are also fixed points of a Lipschitz mapping. Some interesting cases and examples of applying the main results are discussed and showed. The results presented in this paper are more general and include many previously known results as special cases.

【 授权许可】

CC BY