GNM ordered variational inequality system with ordered Lipschitz continuous mappings in an ordered Banach space

Journal of inequalities and applications

Hong-Gang Li¹ 

关键词: general nonlinear mixed ordered variational inequality system;    ordered Lipschitz continuous mappings;    B-restricted-accretive mappings;    iterative algorithm;    convergence;    ordered Banach space;   

DOI  :  10.1186/1029-242X-2013-514

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The main purpose of this paper is to introduce and study a new class of generalized nonlinear mixed ordered variational inequalities systems with ordered Lipschitz continuous mappings in ordered Banach spaces. Then, applying the matrix analysis and the vector-valued mapping fixed point analysis method, an existence theorem of solutions for this kind of the system is established. Furthermore, based on the existence theorem and the new ordered B-restricted-accretive mappings, a general algorithm for solving the systems is introduced and applied to the approximation solvability of the systems on hand. The obtained results seem to be general in nature. MSC:49J40, 47H06.

【 授权许可】

CC BY