Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2016 / Cilt: 65 - Sayı: 2 #74221

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

R. KAZMİ K., A. ALVİ SHAKEEL

Sayfa
189–205
DOI
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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]