Generalized Convexity and Vector Optimization
Mishra, Shashi Kant.
Generalized Convexity and Vector Optimization [electronic resource] / by Shashi Kant Mishra, Shou-Yang Wang, Kin Keung Lai. - X, 294 p. online resource. - Nonconvex Optimization and Its Applications, 90 1571-568X ; . - Nonconvex Optimization and Its Applications, 90 .
Generalized Convex Functions -- Generalized Type I and Related Functions -- Optimality Conditions -- Duality Theory -- Second and Higher Order Duality -- Symmetric Duality -- Vector Variational-like Inequality Problems.
The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems, Fractional programming problems, Nonsmooth programming problems, Nondifferentiable programming problems, Variational and Control problems under various types of generalized convexity assumptions.
9783540856719
10.1007/978-3-540-85671-9 doi
Mathematics.
Operations research.
Decision making.
Potential theory (Mathematics).
Mathematical models.
Calculus of variations.
Mathematics.
Potential Theory.
Mathematical Modeling and Industrial Mathematics.
Calculus of Variations and Optimal Control; Optimization.
Operation Research/Decision Theory.
QA404.7-405
515.96
Generalized Convexity and Vector Optimization [electronic resource] / by Shashi Kant Mishra, Shou-Yang Wang, Kin Keung Lai. - X, 294 p. online resource. - Nonconvex Optimization and Its Applications, 90 1571-568X ; . - Nonconvex Optimization and Its Applications, 90 .
Generalized Convex Functions -- Generalized Type I and Related Functions -- Optimality Conditions -- Duality Theory -- Second and Higher Order Duality -- Symmetric Duality -- Vector Variational-like Inequality Problems.
The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems, Fractional programming problems, Nonsmooth programming problems, Nondifferentiable programming problems, Variational and Control problems under various types of generalized convexity assumptions.
9783540856719
10.1007/978-3-540-85671-9 doi
Mathematics.
Operations research.
Decision making.
Potential theory (Mathematics).
Mathematical models.
Calculus of variations.
Mathematics.
Potential Theory.
Mathematical Modeling and Industrial Mathematics.
Calculus of Variations and Optimal Control; Optimization.
Operation Research/Decision Theory.
QA404.7-405
515.96