Sensitivity analysis for a system of parametric general quasi-variational-like inequality problems in uniformly smooth Banach spaces |
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Authors: | KR Kazmi BS Komal FA Khan Pankaj Mansotra |
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Institution: | aDepartment of Mathematics, Aligarh Muslim University, Aligarh 202 002, India;bDepartment of Mathematics, University of Jammu, Jammu 180 006, India |
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Abstract: | In this paper, using the concept of P-η-proximal-point mapping introduced by Kazmi and Bhat 11], we study the existence and sensitivity analysis of the solution set of a system of parametric general quasi-variational-like inequality problems in uniformly smooth Banach spaces. Further under suitable conditions, we discuss the Lipschitz continuity of the solution set with respect to the parameters. The approach used in this paper may be treated as an extension and unification of approaches for studying sensitivity analysis for various important classes of variational inequalities given in 1,2,4,12,14–16,21–24]. |
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Keywords: | System of parametric general quasi-variational-like inequality problems P-η -proximal-point mappings Strongly accretive mappings Strongly η -monotone mappings Mixed Lipschitz continuous mappings -Lipschitz continuous mappings |
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