Abstract
We enlarge the class of sufficient conditions which guarantee, on the one hand, the sequential closedness of set-valued functions defined by minimum points and by social Nash equilibria and, on the other hand, the existence of solutions for MinSup problems, using new classes of functions, called sequentially lower pseudocontinuous and sequentially upper pseudocontinuous functions. Properties and characterizations of such classes are investigated.
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Morgan, J., Scalzo, V. Pseudocontinuity in Optimization and Nonzero-Sum Games. Journal of Optimization Theory and Applications 120, 181–197 (2004). https://doi.org/10.1023/B:JOTA.0000012738.90889.5b
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DOI: https://doi.org/10.1023/B:JOTA.0000012738.90889.5b