期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2005
卷号:2005
DOI:10.1155/IJMMS.2005.3645
出版社:Hindawi Publishing Corporation
摘要:By using the notion of Jη-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.