Algorithm for Solving a New System of Generalized Nonlinear Quasi-Variational-Like Inclusions in Hilbert Spaces. (5th February 2014)

• Record Type: Journal Article
• Authors: Husain, Shamshad; Gupta, Sanjeev; Sahper, Huma
• Other Names: Guo Qian Academic Editor.; Li Xiang-Gui Academic Editor.
• Is Part Of: Chinese journal of mathematics. Volume 2014(2014)
• Publication Date: 2014-02-05
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals
• DOI: 10.1155/2014/957482
• Languages: English
• ISSNs: 2314-8071

Abstract

Abstract : We introduce and study a new system of generalized nonlinear quasi-variational-like inclusions withH ( ·, · ) -cocoercive operator in Hilbert spaces. We suggest and analyze a class of iterative algorithms for solving the system of generalized nonlinear quasi-variational-like inclusions. An existence theorem of solutions for the system of generalized nonlinear quasi-variational-like inclusions is proved under suitable assumptions which show that the approximate solutions obtained by proposed algorithms converge to the exact solutions.