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On Vector Quasi-Equilibrium Problems Via a Browder-Type Fixed-Point Theorem

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Abstract

This paper aims to provide new sufficient conditions for the existence of solutions to a vector quasi-equilibrium problem with set-valued mappings. Using a very recent Browder-type fixed-point theorem, which allows us to relax the common lower semicontinuity assumptions, the results improve some theorems from the literature and they can be applied where others fail.

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Acknowledgements

The author wishes to thank the anonymous referees for their useful comments, which helped her to improve the presentation of the paper.

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  1. Department of Mathematics, Technical University of Cluj-Napoca, Memorandumului 28, 400114, Cluj-Napoca, Cluj, Romania

    Adela Capătă

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  1. Adela Capătă
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Capătă, A. On Vector Quasi-Equilibrium Problems Via a Browder-Type Fixed-Point Theorem. Bull. Malays. Math. Sci. Soc. 46, 14 (2023). https://doi.org/10.1007/s40840-022-01397-8

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