Generalized set-valued variational-like inclusions and Wiener-Hopf equations in Banach spaces

Yali Zhao, Zunquan Xia and Zeqing Liu

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-15

Abstract:

By using the notion of J η -proximal mapping for a nonconvex, lower semicontinuous, η -subdifferentiable proper functional in reflexive Banach spaces, we introduce and study a class of generalized set-valued variational-like inclusions in Banach spaces and show their equivalences with a class of Wiener-Hopf equations. We propose two new iterative algorithms for the class of generalized set-valued variational-like inclusions. Furthermore, we prove the existence of solutions of the generalized set-valued variational-like inclusions and the convergence criteria of the two iterative algorithms for the generalized set-valued variational-like inclusions in reflexive Banach spaces. The results presented in this paper are new and are an extension of the corresponding results in this direction.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:261873

DOI: 10.1155/IJMMS.2005.3645

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