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A system of general nonlinear variational inclusions in Banach spaces

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Abstract

A new system of general nonlinear variational inclusions is introduced and studied in Banach spaces. An iterative algorithm is developed and analyzed by use of the resolvent operator techniques to find the approximate solutions of the system of general nonlinear variational inclusions involving different nonlinear operators in uniformly smooth Banach spaces.

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Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, China

    Xieping Ding

  2. Department of Mathematics, Jazan University, Jazan, 45142, Kingdom of Saudi Arabia

    Salahuddin

Authors
  1. Xieping Ding
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  2. Salahuddin
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Corresponding author

Correspondence to Xieping Ding.

Additional information

Project supported by the Scientific Research Fund of Sichuan Normal University (No. 11ZDL01) and the Sichuan Province Leading Academic Discipline Project (No. SZD0406)

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Ding, X., Salahuddin A system of general nonlinear variational inclusions in Banach spaces. Appl. Math. Mech.-Engl. Ed. 36, 1663–1672 (2015). https://doi.org/10.1007/s10483-015-2001-6

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  • DOI: https://doi.org/10.1007/s10483-015-2001-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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