Iterative approximation of a solution of a general variational-like inclusion in Banach spaces

C. E. Chidume, K. R. Kazmi and H. Zegeye

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-10

Abstract:

We introduce a class of η -accretive mappings in a real Banach space and show that the η -proximal point mapping for η - m -accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involving η -accretive mappings in real Banach space, and discuss its convergence criteria. The class of η -accretive mappings includes several important classes of operators that have been studied by various authors.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:563278

DOI: 10.1155/S0161171204209395

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