Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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VECTOR EQUILIBRIUM PROBLEMS FOR TRIFUNCTION IN MEASURABLE SPACE AND ITS APPLICATIONS

  • Received : 2021.06.29
  • Accepted : 2022.01.06
  • Published : 2022.05.30
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Abstract

In this work, we introduced and study vector equilibrium problems for trifunction in measurable space (for short, VEPMS). The existence of solutions of (VEPMS) are obtained by employing Aumann theorem and Fan KKM lemma. As an application, we prove an existence result for vector variational inequality problem for measurable space. Our results in this paper are new which can be considered as significant extension of previously known results in the literature.

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References

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