Algorithm for Solving a New System of Generalized Nonlinear Quasi-Variational-Like Inclusions in Hilbert Spaces

Shamshad Husain, Sanjeev Gupta, Huma Sahper · Chinese Journal of Mathematics · 2014

We introduce and study a new system of generalized nonlinear quasi-variational-like inclusions with H(·,·) -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.

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