Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces

In this paper, we propose an extension of quasi-equilibrium problems from the convex case to the nonconvex case and from Hilbert spaces to Banach spaces. The proposed problem is called quasi-variational problem. We study the convergence of some algorithms to solutions of the proposed nonconvex probl...

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Bibliographic Details
Main Authors: M. Bounkhel, Dj. Bounekhel
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/8708065
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Summary:In this paper, we propose an extension of quasi-equilibrium problems from the convex case to the nonconvex case and from Hilbert spaces to Banach spaces. The proposed problem is called quasi-variational problem. We study the convergence of some algorithms to solutions of the proposed nonconvex problems in Banach spaces.
ISSN:2314-8896
2314-8888