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J. H. Sun, S. W. Zhang and L. W. Zhang, “An Algorithm Based on Resolvent Operators for Solving Positively Semi-Definite Variational Inequalities,” Fixed Point Theory and Applications, Vol. 2007, 2007, Article ID 76040. doi:10.1155/2007/76040

has been cited by the following article:

• 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.