The Over-Relaxed -Proximal Point Algorithm for General Nonlinear Mixed Set-Valued Inclusion Framework

Autor: Li HongGang, Xu AnJian, Pan XianBing
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Fixed Point Theory and Applications, Vol 2011, Iss 1, p 840978 (2011)
Druh dokumentu: article
ISSN: 1687-1820
1687-1812
Popis: The purpose of this paper is (1) a general nonlinear mixed set-valued inclusion framework for the over-relaxed -proximal point algorithm based on the ( , )-accretive mapping is introduced, and (2) it is applied to the approximation solvability of a general class of inclusions problems using the generalized resolvent operator technique due to Lan-Cho-Verma, and the convergence of iterative sequences generated by the algorithm is discussed in -uniformly smooth Banach spaces. The results presented in the paper improve and extend some known results in the literature.
Databáze: Directory of Open Access Journals
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