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.

Interdisciplinary content is also geared toward advanced undergraduate, graduate, and researchers Dedicated to Terry Rockafellar who has made seminal contributions to so many areas of optimization and related fields Applications to optimization, stochastic programming, optimal control, economics, and more

Inhalt

On analyzing networks via curvature measures review of methodologies and applications.- An iterative method for a common solution of generalized mixed equilibrium problem and fixed point problem of nonexpansive semigroups.- Variational problem in algorithms design for dr submodular maximization.- Behavioral and spatial optimization of parcel lockers in urban areas.- A method for best l 1 data approximation that achieves convexity concavity.- Recent development of averaging domains and their applications.- Lie bracket derivations in banach algebras.- Hom derivations in lie banach algebras.- Some inequalities of jensen type for trigonometrically rho convex functions.- Some inequalities of ostrowski and trapezoid type for trigonometrically rho convex functions.- On equivariant morse theory and minimax principles for locally lipschitz maps.- Well behaved maps on preordered pseudometric space.- On stability of monotone variational inequalities in hilbert space via hausdorff convergence.- Adopting convex analysis in statistical applications.- Christos some new hermite hadamard type inequalities for h convex functions.- Multicommodity trade tariffs and rerouting.- On hyers ulam rassias stability and hyperstability of generalized affine quadratic and drygas functional equations.- Exponentially general convex functions and variational inequalities.- Some novel aspects of biconvex functions and biequilibrium problems.- On nonsmooth multiobjective semi infinite programming with switching constraints using convexificators.- Time series forecasting initialising line search methods for unconstrained optimisation.- Exploring network centrality through the lens of game theory.- A new reverse multidimensional Hilbert type inequality with one partial sum.- Solving mathematical programs with vanishing constraints using pso.- A fuzzy approach to the stability of a general quadratic functional equation insights from the fixed point theory.- Families of generating functions and their applications with some open questions.- Approximate optimality conditions and global search convergence for nonconvex optimization.- Generalization of an instructive counterexample of zoltan boros on maximal elements and fixed points in preordered sets.- Perturbed minimization principles and dependent choice.- Brunner general structures and dependent choice.- A new hardy hilbert integral inequality with two internal variables involving two extended derivative functions of higher order.