Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506600 | Applied Mathematics and Computation | 2005 | 17 Pages |
Abstract
In this paper, we give the notion of P-η-proximal mapping, an extension of P-proximal mapping given by Ding and Xia [J. Comput. Appl. Math. 147 (2002) 369], for a nonconvex lower semicontinuous η-subdifferentiable proper functional on Banach space and prove its existence and Lipschitz continuity. Further, we consider a class of generalized set-valued variational-like inclusions in Banach space and show its equivalence with a class of implicit Wiener-Hopf equations using the concept of P-η-proximal mapping. Using this equivalence, we propose a new class of iterative algorithms for the class of generalized set-valued variational-like inclusions. Furthermore, we prove the existence of solution of generalized set-valued variational-like inclusions and discuss the convergence criteria and the stability of the iterative algorithm.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
K.R. Kazmi, M.I. Bhat,