This volume is the first of two volumes representing leading themes of current research in nonlinear analysis and optimization. The articles are written by prominent researchers in these two areas and bring the readers, advanced graduate students and researchers alike, to the frontline of the vigorous research in these important fields of mathematics.

This volume contains articles on nonlinear analysis. Topics covered include the convex feasibility problem, fixed point theory, mathematical biology, Mosco stability, nonexpansive mapping theory, nonlinear partial differential equations, optimal control, the proximal point algorithm and semigroup theory. The companion volume (Contemporary Mathematics, Volume 514) is devoted to optimization.

This volume contains the first part of the refereed proceedings of the International Conference on Nonlinear Analysis and Optimization in celebration of Alex Ioffe's 70th and Simeon Reich's 60th birthdays which took place on June 18-24, 2008, at the Technion - Israel Institute of Technology, Haifa, Israel.

This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Readership

Graduate students and research mathematicians interested in nonlinear analysis and its applications.