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AIMS Mathematics

2021, Volume 6, Issue 4: 3288-3304. doi: 10.3934/math.2021197
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Research article

Set-valued variational inclusion problem with fuzzy mappings involving XOR-operation

  • 1.
    Department of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri, J and K, India
  • 2.
    Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
  • 3.
    Department of Mathematics and Statistics, Fiji National University, Fiji
  • Received: 26 November 2020 Accepted: 30 December 2020 Published: 15 January 2021

  • MSC : 47J22, 47J25, 47S40

  • In this paper, we introduce a set-valued variational inclusion problem with fuzzy mappings involving XOR-operation. We define a resolvent operator involving a bi-mapping and prove resolvent operator is single-valued, comparison and Lipschitz-type continuous. Based on resolvent operator we proposed an iterative algorithm to find the approximate solution of our problem. An existence and convergence result is proved for set-valued variational inclusion problem with fuzzy mappings involving XOR-operation without using the properties of a normal cone. Examples are constructed for illustration.

    Citation: Javid Iqbal, Imran Ali, Puneet Kumar Arora, Waseem Ali Mir. Set-valued variational inclusion problem with fuzzy mappings involving XOR-operation[J]. AIMS Mathematics, 2021, 6(4): 3288-3304. doi: 10.3934/math.2021197

    Related Papers:

  • In this paper, we introduce a set-valued variational inclusion problem with fuzzy mappings involving XOR-operation. We define a resolvent operator involving a bi-mapping and prove resolvent operator is single-valued, comparison and Lipschitz-type continuous. Based on resolvent operator we proposed an iterative algorithm to find the approximate solution of our problem. An existence and convergence result is proved for set-valued variational inclusion problem with fuzzy mappings involving XOR-operation without using the properties of a normal cone. Examples are constructed for illustration.


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