2008•Journal of Southwest UniversityRequires access

Optimality Conditions for a Class of Nonsmooth Multiobjecttive Semi-infinite Programming

Fwng Qiang

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Abstract

Using a new nonsmooth generalized uniform Bρ-(p, r)-invexity function,multiobjective semi-infinite programming problems are discussed and optimality conditions are established in this paper.The work has generalized many results on programming problems with invex functions,B-invexity functions,(p,r)-invexity functions and B-(p,r)-invexity functions.

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Using a new nonsmooth generalized uniform Bρ-(p, r)-invexity function,multiobjective semi-infinite programming problems are discussed and optimality conditions are established in this paper.The work has generalized many results on programming problems with invex functions,B-invexity functions,(p,r)-invexity functions and B-(p,r)-invexity functions.

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Available abstract

Using a new nonsmooth generalized uniform Bρ-(p, r)-invexity function,multiobjective semi-infinite programming problems are discussed and optimality conditions are established in this paper.The work has generalized many results on programming problems with invex functions,B-invexity functions,(p,r)-invexity functions and B-(p,r)-invexity functions.

Key concepts: Mathematics, Class (philosophy), Multiobjective programming, Applied mathematics, Mathematical optimization, Function (biology), Pure mathematics, Computer science

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