Author(s)

Rais Ahmad, Mohammad Dilshad

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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.

H(., .)- φ - η - Accretive Operator, Variational-Like Inclusion, Resolvent Operator, Algorithm, Convergence

R. Ahmad and M. Dilshad, "H(.,.)- φ - η - Accretive Operators and Generalized Variational-Like Inclusions," American Journal of Operations Research, Vol. 1 No. 4, 2011, pp. 305-311. doi: 10.4236/ajor.2011.14035.