EXISTENCE AND ALGORITHM OF SOLUTIONS FOR A NEW SYSTEM OF GENERALIZED MIXED QUASI-VARIATIONAL INCLUSIONS INVOLVING (h, eta)-MONOTONE MAPPINGS

Abstract

In this paper, we introduce a new system of generalized mixed quasi-variational inclusion problems ( SGMQVIP ) involving (h,eta)-monotone mappings. By using resolvent operator technique of (h,eta)-monotone mappings, an existence result for the SGMQVIP is proved and a new iterative algorithm to compute approximate solutions of the SGMQVIP is suggested and analyzed. The convergence of the iterative sequences generated by the algorithm is also proved. These results generalize some known results in literature.