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ABSTRACT
Epi-convergence plays an important role when studying the behaviour of a set optimization problem under variations of its data. In this paper, we obtain properties for this notion and compare it with other convergence notions for set-valued maps that have been used recently to study the stability of set optimization problems.
Acknowledgments
The authors are very grateful to the referee for the helpful comments and suggestions, which improved the manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This work was funded by the Spanish Ministerio de Economía y Competitividad and FEDER, MTM2017-85054-C2-2-P and ETSI Industriales Universidad Nacional de Educación a Distancia, 2020-10MAT (Hernández) and by ANID–Chile, project Consejo Nacional de Innovación, Ciencia y Tecnología Fondecyt 1181368 and Universidad de Tarapacá, project UTA-Mayor 4750-20 (López).