Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (12): 1663-1672.doi: https://doi.org/10.1007/s10483-015-2001-6

• • 上一篇    

A system of general nonlinear variational inclusions in Banach spaces

Xieping DING1, SALAHUDDIN2   

  1. 1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China;
    2. Department of Mathematics, Jazan University, Jazan 45142, Kingdom of Saudi Arabia
  • 收稿日期:2014-01-16 修回日期:2015-03-30 出版日期:2015-12-01 发布日期:2015-12-01
  • 通讯作者: Xieping DING E-mail:xiepingding@hotmail.com
  • 基金资助:
    Project supported by the Scientific Research Fund of Sichuan Normal University(No. 11ZDL01) and the Sichuan Province Leading Academic Discipline Project(No. SZD0406)

A system of general nonlinear variational inclusions in Banach spaces

Xieping DING1, SALAHUDDIN2   

  1. 1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China;
    2. Department of Mathematics, Jazan University, Jazan 45142, Kingdom of Saudi Arabia
  • Received:2014-01-16 Revised:2015-03-30 Online:2015-12-01 Published:2015-12-01
  • Contact: Xieping DING E-mail:xiepingding@hotmail.com
  • Supported by:
    Project supported by the Scientific Research Fund of Sichuan Normal University(No. 11ZDL01) and the Sichuan Province Leading Academic Discipline Project(No. SZD0406)

摘要: 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.

关键词: relaxed accretive mapping, system of general nonlinear variational inclusions, resolvent operator, strongly accretive mapping, uniformly smooth Banach space

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.

Key words: system of general nonlinear variational inclusions, uniformly smooth Banach space, strongly accretive mapping, resolvent operator, relaxed accretive mapping

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