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http://dx.doi.org/10.14317/jami.2022.577

VECTOR EQUILIBRIUM PROBLEMS FOR TRIFUNCTION IN MEASURABLE SPACE AND ITS APPLICATIONS  

RAM, TIRTH (Department of Mathematics, University of Jammu)
KHANNA, ANU KUMARI (Department of Mathematics, University of Jammu)
Publication Information
Journal of applied mathematics & informatics / v.40, no.3_4, 2022 , pp. 577-585 More about this Journal
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.
Keywords
Vector equilibrium problem; Caratheodory functions; KKM-map;
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