Until now, no book addressed convexity, monotonicity, and variational inequalities together. This book covers all three topics, including new variational inequality problems defined by a bifunction. It deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The first part of the book focuses on generalized convexity and generalized monotonicity. The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings.

Generalized Convexity and Generalized Monotonicity: Elements of Convex Analysis. Generalized Derivatives and Generalized Subdifferentials. Nonsmooth Convexity. Monotonocity and Generalized Monotonicity. Nonsmooth Variational Inequalities and Nonsmooth Optimization: Elements of Variational Inequalities. Nonsmooth Variational Inequalities. Characterizations of Solution Sets of Optimization Problem and Nonsmooth Variational Inequalities. Nonsmooth Generalized Variational Inequalities and Optimization Problems. Appendices. Index.

Qamrul Hasan Ansari, C. S. Lalitha, Monika Mehta