EXISTENCE RESULTS FOR BIGENERAL VECTOREQUILIBRIUM PROBLEM ON BICONVEX SETS: A KKMAPPROACH
DOI:
https://doi.org/10.69980/s2tyk946Keywords:
Bigeneral Vector equilibrium problem, Bigeneral P-monotonicity, General biconvexity, KKM-mappings, Existence theoryAbstract
In this paper, a general vector equilibrium problem and a general strong vector equilibrium problem are introduced and studied in the Hausdorff topological vector spaces, along with many existing models of vector equilibrium problems and equilibrium problems as special cases. We also consider and introduce some new concepts of general biconvex sets and functions involving an arbitrary function. Applying the KKM theorem yields an existence conclusion for the bi general vector equilibrium problem and the bigeneral strong vector equilibrium problem. There are also a few particular examples and cases displayed.
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