Parametric generalized set-valued variational inclusions and resolvent equations

Salahuddin

doi:10.1016/j.jmaa.2004.04.037

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Parametric generalized set-valued variational inclusions and resolvent equations

Journal article

Open access

Peer reviewed

Parametric generalized set-valued variational inclusions and resolvent equations

Salahuddin

Journal of mathematical analysis and applications, Vol.298(1), pp.146-156

01/10/2004

DOI: https://doi.org/10.1016/j.jmaa.2004.04.037

Abstract

Generalized resolvent equations

Generalized set-valued variational inclusions

Hausdorff metric

Lipschitz continuous operators

Monotone operators

Parametric equations

Sensitivity analysis

In this paper, we develop the sensitivity analysis for generalized set-valued variational inclusions and generalized resolvent equations. We establish the equivalence between the parametric generalized set-valued variational inclusions and parametric generalized resolvent equations, by using the resolvent operator technique without assuming the differentiability of the given data.

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Details

Title: Parametric generalized set-valued variational inclusions and resolvent equations
Creators - without role: Salahuddin - Aligarh Muslim University
Publication Details: Journal of mathematical analysis and applications, Vol.298(1), pp.146-156
Publisher: Elsevier Inc
Identifiers: 9917802808331
Academic Unit: Jazan University
Language: English
Resource Type: Journal article