H(.,.)- φ - η - Accretive Operators and Generalized Variational-Like Inclusions
Open Access
- 1 January 2011
- journal article
- Published by Scientific Research Publishing, Inc. in American Journal of Operations Research
- Vol. 01 (04), 305-311
- https://doi.org/10.4236/ajor.2011.14035
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 operatorKeywords
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