Existence of Solutions for Noncoercive Hemivariational Inequalities by an Equilibrium Approach Under Pseudomonotone Perturbation

A. Lahmdani, O. Chadli () and J. C. Yao ()
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A. Lahmdani: Ibn Zohr University
O. Chadli: Ibn Zohr University
J. C. Yao: Kaohsiung Medical University

Journal of Optimization Theory and Applications, 2014, vol. 160, issue 1, No 3, 49-66

Abstract: Abstract In this paper, we study the existence of a solution for a hemivariational inequality problem in a noncoercive framework. The approach adopted is an equilibrium problem formulation associated with a maximal monotone bifunction with pseudomonotone perturbation. We proceed by introducing auxiliary problems that will be studied using a new existence result for equilibrium problems. An example to illustrate the use of the theory is given.

Keywords: Hemivariational inequalities; Clarke subdifferential; Maximal monotone operators; Pseudomonotone operators; Equilibrium problems; Nonconvex; Evolution triple; Recession analysis; Periodic solutions (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-013-0374-9

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