General Convexity, General Concavity, Fixed Points, Geometry, and Min-Max Points

Milan Tasković

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.