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Tiziana Cardinali, Francesca Papalini (1993)
Annales Polonici Mathematici
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We present a stability theorem of Ulam-Hyers type for K-convex set-valued functions, and prove that a set-valued function is K-convex if and only if it is K-midconvex and K-quasiconvex.
Zyskowski, Janusz (2015-11-13T12:11:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Rade Živaljević (1979)
Publications de l'Institut Mathématique
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S. Owa, L. Liu, Wancang Ma (1989)
Matematički Vesnik
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Siniša Vrećica (1981)
Publications de l'Institut Mathématique
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Josip E. Pečarić (1980)
Publications de l'Institut Mathématique
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Hüsseinov, F. (1999)
Journal of Convex Analysis
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H. R. Abdel-Gawad, D. K. Thomas (1991)
Publications de l'Institut Mathématique
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Sehie Park, Jong Sook Bae (1993)
Commentationes Mathematicae Universitatis Carolinae
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Using our own generalization [7] of J.C. Bellenger’s theorem [1] on the existence of maximizable u.s.cq̇uasiconcave functions on convex spaces, we obtain extended versions of the existence theorem of H. Ben-El-Mechaiekh [2] on zeros for multifunctions with non-compact domains, the coincidence theorem of S.H. Kum [5] for upper hemicontinuous multifunctions, and the Ky Fan type fixed point theorems due to E. Tarafdar [13].