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

Year 2016, Volume: 65 Issue: 2, 189 - 205, 01.08.2016

R. Kazmi K. A. Alvi Shakeel

https://doi.org/10.1501/Commua1_0000000769

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 continuous

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• Current address : K. R. Kazmi: Department of Mathematics, Aligarh Muslim University Ali- garh 202002, India
• E-mail address : [e-mail]
• Current address : Department of Mathematics, Faculty of Science, King Faisal University Al- Hasa, Kingdom of Saudi Arabia
• E-mail address : [e-mail]