On Parametric Nonconvex Variational Inequalities

Muhammad Aslam Noor ()
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Muhammad Aslam Noor: COMSATS Institute of Information Technology, Mathematics Department

A chapter in Analytic Number Theory, Approximation Theory, and Special Functions, 2014, pp 517-527 from Springer

Abstract: Abstract In this paper, we consider the parametric nonconvex variational inequalities and parametric nonconvex Wiener–Hopf equations. Using the projection technique, we establish the equivalence between the parametric nonconvex variational inequalities and parametric nonconvex Wiener–Hopf equations. We use this alternative equivalence formulation to study the sensitivity analysis for the parametric nonconvex variational inequalities. Our results can be considered as a significant extension of previously known results. The ideas and techniques may be used to stimulate further research for multivalued nonconvex variational inequalities and their variant forms.

Keywords: Nonconvex Variational Inequalities; Parametric Nonconvex; Wiener-Hopf Equation; Alternative Equivalent Formulation; Projection Operator Technique (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0258-3_18

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DOI: 10.1007/978-1-4939-0258-3_18

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