Generalized Convexity and Vector Optimization [electronic resource] /
Mishra, Shashi K.author.
Wang, Shouyang.author.
Lai, Kin Keung.author.
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.
Description based upon print version of record.
Includes bibliographical references and index.
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.
Potential theory (Mathematics).
Mathematical models.
Calculus of variations.
Operations research.
Decision making.
Potential Theory.
Mathematical Modeling and Industrial Mathematics.
Calculus of Variations and Optimal Control; Optimization.
Operations Research/Decision Theory.
Nonconvex Optimization and Its Applications