TITLE:
H(.,.)- φ - η - Accretive Operators and Generalized Variational-Like Inclusions
AUTHORS:
Rais Ahmad, Mohammad Dilshad
KEYWORDS:
H(., .)- φ - η - Accretive Operator, Variational-Like Inclusion, Resolvent Operator, Algorithm, Convergence
JOURNAL NAME:
American Journal of Operations Research,
Vol.1 No.4,
December
5,
2011
ABSTRACT: In this paper, we generalize H(.,.) accretive operator introduced by Zou and Huang [1] and we call it H(.,.)- φ - η - accretive operator. We define the resolvent operator associated with H(.,.)- φ - η - accretive operator and prove its Lipschitz continuity. By using these concepts an iterative algorithm is suggested to solve a generalized variational-like inclusion problem. Some examples are given to justify the definition of H(.,.)- φ - η - accretive operator.