Convex and Variational Analysis With Applications

Convex and Variational Analysis With Applications Synopsis

Celebrating the 90th birthday of the esteemed mathematician Terry Rockafellar, this volume brings together both research and survey papers that delve into the intricacies of convex analysis and its applications across various fields.

Topical coverage includes the application of convex analysis in statistical contexts, Jensen-type inequalities for trigonometrically $\rho$-convex functions, and Hermite-Hadamard type inequalities for h-convex functions. This book also examines exponentially general convex functions, variational inequalities, and the stability of monotone variational inequalities in Hilbert spaces. Additionally, it addresses complex issues such as nonsmooth multiobjective semi-infinite programming, network centrality through Game Theory, and time series forecasting.

This volume is an invaluable resource for mathematicians, researchers, and advanced students interested in the latest developments in convex and variational analysis. By providing both theoretical insights and practical applications, the book serves as a bridge between abstract mathematical concepts and real-world problems, making it a must-read for anyone engaged in mathematical research or applications.