Continuous Optimization and Variational Inequalities

ISBN-13: 9781032267838 / Angielski / Twarda / 2022 / 384 str.

Anurag Jayswal; Tadeusz Antczak

Opis

The proposed book describes theory and solution methods for optimization with smooth and non-smooth functions, for variational inequalities with single-valued and multivalued mappings, and for related classes such as mixed variational inequalities, complementarity problems, and general equilibrium problems.

Spis treści

1. Mixed Type Duality and Saddle Point Criteria for Multiobjective Programming Problems with Nonsmooth Generalized Invexity. 2. Optimality and Duality for Nonsmooth Optimization Problems with Switching Constraints. 3. Optimality Conditions for Approximate Solutions of Nonsmooth Semi-infinite Vector Optimization Problems. 4. Density Aspects in Semi-Infinite Vector Optimization. 5. Optimality Conditions and Duality for Nondifferentiable Multiobjective Fractional Programming Problems. 6. Nonconvex Nonsmooth Minimax Fractional Programming involving Generalized Semidifferentiable Preinvex Functions with Different Directions. 7. Optimality Conditions and Wolfe Duality Results for LU-Efficiency in Differentiable Vector Optimization Problems with Multiple Interval-Valued Objective Function and Vanishing Constraints. 8. Interval-Valued Multi-Time Control Problem with Applications. 9. Generalized Minty and Stampacchia Vector Variational-Like Inequalities and Interval-Valued Vector Optimization Problems. 10. Sufficient Optimality Conditions and Duality for a Nonsmooth Interval-Valued Optimization Problem with Generalized Convexity via gH-Clarke Subgradients. 11. Forward-Backward Extragradient Methods for Quasimonotone Variational Inequalities. 12. Multidimensional Split Variational Inequality in Traffic Analysis. 13. Controlled Nonlinear Dynamics for Constrained Optimization Problems Involving Second-Order Partial Derivatives. 14. A Non-Parametric Dual Control Algorithms of Multidimensional Static Systems with Delay. 15. Well-Posedness of Set Optimization Using Nonlinear Scalarization Function.