The Romanian version of this monograph appeared two years ago, under the name of "Convexitati Generalizate", edited by Geometry Balkan Press.

Several factors determined our publishing house to produce an English version. First of all is the contribution of Professor Stefan Mititelu to the development of this field. Next, is the wide range of applications of generalized convexities to pure, applied and industrial mathematics.

Contents

1. Introduction

2. Convexity

3. Quasiconvexity and pseudoconvexity

4. Invexity and generalization

5. Other generalizaed convexities

6. Subdifferential nonconvex calculus