Generalized Convexity and Related Topics / by Igor V. Konnov, Dinh The Luc, Alexander M. Rubinov.

Springer eBooks

Invited Papers -- Combined Relaxation Methods for Generalized Monotone Variational Inequalities -- Abstract Convexity and the Monge-Kantorovich Duality -- Optimality Conditions and Duality for Multiobjective Programming Involving (C, ?, ?, d) type-I Functions -- Contributed Papers -- Partitionable Variational Inequalities with Multi-valued Mappings -- Almost Convex Functions: Conjugacy and Duality -- Pseudomonotonicity of a Linear Map on the Interior of the Positive Orthant -- An Approach to Discrete Convexity and Its Use in an Optimal Fleet Mix Problem -- A Unifying Approach to Solve a Class of Parametrically-Convexifiable Problems -- Mathematical Programming with (?, ?)-invexity -- Some Classes of Pseudoconvex Fractional Functions via the Charnes-Cooper Transformation -- Equilibrium Problems Via the Palais-Smale Condition -- Points of Efficiency in Vector Optimization with Increasing-along-rays Property and Minty Variational Inequalities -- Higher Order Properly Efficient Points in Vector Optimization -- Higher-order Pseudoconvex Functions -- Sufficient Optimality Conditions and Duality in Nonsmooth Multiobjective Optimization Problems under Generalized Convexity -- Optimality Conditions for Tanaka’s Approximate Solutions in Vector Optimization -- On the Work of W. Oettli in Generalized Convexity and Nonconvex Optimization — a Review and Some Perspectives -- Local and Global Consumer Preferences -- Optimality Conditions for Convex Vector Functions by Mollified Derivatives -- On Arcwise Connected Convex Multifunctions -- A Sequential Method for a Class of Bicriteria Problems -- Decomposition of the Measure in the Integral Representation of Piecewise Convex Curves -- Rambling Through Local Versions of Generalized Convex Functions and Generalized Monotone Operators -- Monotonicity and Dualities -- On Variational-like Inequalities with Generalized Monotone Mappings -- Almost Pure Nash Equilibria in Convex Noncooperative Games -- A Spectral Approach to Solve Box-constrained Multi-objective Optimization Problems.

The book contains invited papers by well-known experts on a wide range of topics (economics, variational analysis, probability etc.) closely related to convexity and generalized convexity, and refereed contributions of specialists from the world on current research on generalized convexity and applications, in particular, to optimization, economics and operations research.

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