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Strong Convergence of Iterative Algorithm for a New System of Generalized Cocoercive Operator Inclusions in Banach Spaces

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  • Saud M. Alsulami
  • Eskandar Naraghirad
  • Nawab Hussain

Abstract

We introduce and study a new system of generalized cocoercive operator inclusions in Banach spaces. Using the resolvent operator technique associated with cocoercive operators, we suggest and analyze a new generalized algorithm of nonlinear set-valued variational inclusions and establish strong convergence of iterative sequences produced by the method. We highlight the applicability of our results by examples in function spaces.

Suggested Citation

  • Saud M. Alsulami & Eskandar Naraghirad & Nawab Hussain, 2013. "Strong Convergence of Iterative Algorithm for a New System of Generalized Cocoercive Operator Inclusions in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, December.
    • Handle: RePEc:hin:jnlaaa:540108
    DOI: 10.1155/2013/540108
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