SENSITIVITY ANALYSIS FOR A PARAMETRIC MULTI-VALUED IMPLICIT QUASI VARIATIONAL-LIKE INCLUSION

Authors : R KAZMİ K, A ALVİ SHAKEEL

Pages : 189-205

Doi:10.1501/Commua1_0000000769

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Publication Date : 2016-08-01

Article Type : Research Paper

Abstract :In this paper, using proximal-point mapping of strongly maximalP- -monotone mapping and the property of the …xed-point set of multi-valuedcontractive mapping, we study the behaviour and sensitivity analysis of thesolution set of a parametric generalized implicit quasi-variational-like inclusion involving strongly maximal P - -monotone mapping in real Hilbert space.Further, under suitable conditions, we discuss the Lipschitz continuity of thesolution set with respect to the parameter. The technique and results presentedin this paper can be viewed as extension of the techniques and correspondingresults given in [2,7-10,20,21]
Keywords : Parametric generalized implicit quasi variational like inclusion, sensitivity analysis, strongly maximal P monotone mapping, P proximal point mapping, stronglymixed monotone mapping, generalized mixed pseudocontractive mapping, mixed Lipschitz conti