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<i>H</i>(.,.)<i>- φ - η -</i> Accretive Operators and Generalized Variational-Like Inclusions

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Author(s): Rais Ahmad | Mohammad Dilshad

Journal: American Journal of Operations Research
ISSN 2160-8830

Volume: 01;
Issue: 04;
Start page: 305;
Date: 2011;
Original page

Keywords: H(. | .)- φ - η - Accretive Operator | Variational-Like Inclusion | Resolvent Operator | Algorithm | Convergence

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.

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