Pseudocontinuity in Optimization and Nonzero-Sum Games

Jacqueline Morgan and V. Scalzo
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V. Scalzo: Università di Napoli–Federico II

Journal of Optimization Theory and Applications, 2004, vol. 120, issue 1, No 9, 197 pages

Abstract: 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.

Keywords: Sequential spaces; sequential lower and upper semicontinuity; sequential lower and upper pseudocontinuity; sequential closed set-valued functions; minimum points; social Nash equilibria; coupled constraints; MinSup problems (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTA.0000012738.90889.5b

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