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

Shamshad Husain | Zendy; Sanjeev Gupta | Zendy; Huma Sahper | Zendy

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

Author(s) -

Shamshad Husain,

Sanjeev Gupta,

Huma Sahper

Publication year - 2014

Publication title -

chinese journal of mathematics

Language(s) - English

Resource type - Journals

ISSN - 2314-8071

DOI - 10.1155/2014/957482

Subject(s) - hilbert space , nonlinear system , operator (biology) , algorithm , class (philosophy) , mathematics , computer science , pure mathematics , artificial intelligence , physics , chemistry , quantum mechanics , biochemistry , repressor , transcription factor , gene

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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