Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SYSTEM OF GENERALIZED SET-VALUED PARAMETRIC ORDERED VARIATIONAL INCLUSION PROBLEMS WITH OPERATOR ⊕ IN ORDERED BANACH SPACES

  • Akram, Mohammad (Department of Mathematics Faculty of Science Islamic University of Madinah) ;
  • Dilshad, Mohammad (Department of Mathematics Faculty of Science University of Tabuk)
  • Received : 2020.04.30
  • Accepted : 2020.08.31
  • Published : 2021.01.31
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Abstract

In this article, we study a system of generalized set-valued parametric ordered variational inclusion problems with operator ⊕ in ordered Banach spaces. We introduce the concept of the resolvent operator associated with (α, λ)-ANODSM set-valued mapping and establish the existence theorem of solution for the system of generalized set-valued parametric ordered variational inclusion problems in ordered Banach spaces. In order to prove the existence of solution, we suggest an iterative algorithm and discuss the convergence analysis under some suitable mild conditions.

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References

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