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System of Multi-Valued Mixed Variational Inclusions with XOR-Operation in Real Ordered Uniformly Smooth Banach Spaces

Author

Listed:
  • Rais Ahmad

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Imran Ali

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Xiao-Bing Li

    (College of Sciences, Chongqing Jiaotong University, Chongqing 400074, China)

  • Mohd. Ishtyak

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Ching-Feng Wen

    (Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 80708, Taiwan
    Research Center for Nonliear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwan
    Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan)

Abstract

In this paper, we consider and study a system of multi-valued mixed variational inclusions with XOR-operation ⊕ in real ordered uniformly smooth Banach spaces. This system consists of bimappings, multi-valued mappings and Cayley operators. An iterative algorithm is suggested to find the solution to a system of multi-valued mixed variational inclusions with XOR-operation ⊕ and consequently an existence and convergence result is proved. In support of our main result, an example is constructed.

Suggested Citation

  • Rais Ahmad & Imran Ali & Xiao-Bing Li & Mohd. Ishtyak & Ching-Feng Wen, 2019. "System of Multi-Valued Mixed Variational Inclusions with XOR-Operation in Real Ordered Uniformly Smooth Banach Spaces," Mathematics, MDPI, vol. 7(11), pages 1-15, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1027-:d:282402
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    References listed on IDEAS

    as
    1. Imran Ali & Rais Ahmad & Ching-Feng Wen, 2019. "Cayley Inclusion Problem Involving XOR-Operation," Mathematics, MDPI, vol. 7(3), pages 1-12, March.
    2. Zhao-Rong Kong & Lu-Chuan Ceng & Ching-Feng Wen, 2012. "Some Modified Extragradient Methods for Solving Split Feasibility and Fixed Point Problems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-32, December.
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    Cited by:

    1. Imran Ali & Haider Abbas Rizvi & Ramakrishnan Geetha & Yuanheng Wang, 2023. "A Nonlinear System of Generalized Ordered XOR-Inclusion Problem in Hilbert Space with S -Iterative Algorithm," Mathematics, MDPI, vol. 11(6), pages 1-20, March.

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