This reference provides a lucid introduction to the principles and applications of Knaster-Kuratowski-Mazurkiewicz (KKM) theory and explores related topics in nonlinear set-valued analysis.
"…recommended as a good introduction into the sphere of contemporary topological methods of nonlinear analysis and their applications."
---Zentralbatt fur Mathematik, 2000
Part 1 Introduction: the KKM theory and related topics; topological intersection and minimax theorems; abstract economics; variational inequalities. Part 1: variational inequalites. Part 2: applications to multi-objective optimization; applications to game theory; applications to mathematical economics.