Almost -convex and almost Wright-convex functions
Mirosław Adamek (2003)
Mathematica Slovaca
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Mirosław Adamek (2003)
Mathematica Slovaca
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Komiya, Hidetoshi, Park, Sehie (2007)
Fixed Point Theory and Applications [electronic only]
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Chang, Tong-Huei, Chen, Chi-Ming, Huang, Yueh-Hung (2009)
Fixed Point Theory and Applications [electronic only]
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Roman Ger (1988)
Mathematica Slovaca
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Simons, S. (1995)
Journal of Convex Analysis
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Marek Lassak (1984)
Fundamenta Mathematicae
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Mohamed Jouak, Lionel Thibault (1985)
Mathematica Scandinavica
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Witold Jarczyk (2013)
Banach Center Publications
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We give a review of results proved and published mostly in recent years, concerning real-valued convex functions as well as almost convex functions defined on a (not necessarily convex) subset of a group. Analogues of such classical results as the theorems of Jensen, Bernstein-Doetsch, Blumberg-Sierpiński, Ostrowski, and Mehdi are presented. A version of the Hahn-Banach theorem with a convex control function is proved, too. We also study some questions specific for the group setting,...