General Convexity, General Concavity, Fixed Points, Geometry, and Min-Max Points
Mathematica Moravica, Tome 12 (2008) no. 1.

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This paper continues the study of general convexity and general concavity which are described in an abstract form on arbitrary sets. The main feature is the systematic use of a very versatile technique introduced in this paper via ATM-maps and MTM-maps. In this sense we give simplest applications of ATM-maps and MTM-maps to fixed point theory, geometry, variational inequalities, and minimax theory.
Mots-clés : General convex structures, general convex topological spaces, fixed point theorem, Browder-Göhde-Kirk theorem, normal structure, Šmulian property, general nonexpansive mappings, ATM-maps, MTM-maps, geometry, variational inequality, min-max points, theory of KKM-maps, von Neumann’s theory, general convexity, general concavity 
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     author = {Milan Taskovi\'c},
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Milan Tasković. General Convexity, General Concavity, Fixed Points, Geometry, and Min-Max Points. Mathematica Moravica, Tome 12 (2008) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2008_12_1_a6/