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http://dx.doi.org/10.4134/JKMS.2009.46.6.1319

SENSITIVITY ANALYSIS FOR SYSTEM OF PARAMETRIC GENERALIZED QUASI-VARIATIONAL INCLUSIONS INVOLVING R-ACCRETIVE MAPPINGS  

Kazmi, Kaleem Raza (DEPARTMENT OF MATHEMATICS ALIGARH MUSLIM UNIVERSITY)
Khan, Faizan Ahmad (DEPARTMENT OF MATHEMATICS ALIGARH MUSLIM UNIVERSITY)
Ahmad, Naeem (DEPARTMENT OF APPLIED MATHEMATICS ALIGARH MUSLIM UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.6, 2009 , pp. 1319-1338 More about this Journal
Abstract
In this paper, using proximal-point mappings technique of Raccretive mappings and the property of the fixed point set of set-valued contractive mappings, we study the behavior and sensitivity analysis of the solution set of the system of parametric generalized quasi-variational inclusions involving R-accretive mappings in real uniformly smooth Banach space. Further under suitable conditions, we discuss the Lipschitz continuity of the solution set with respect to parameters. The technique and results presented in this paper can be viewed as extension of the techniques and corresponding results given in [3, 23, 24, 32, 33, 34].
Keywords
system of parametric generalized quasi-variational inclusions; proximal-point mappings; R-accretive mappings; strongly accretive mappings; mixed Lipschitz continuous; H-Lipschitz continuous;
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