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2009•Unpublished venueRequires access

Optimality Conditions for a Class of Nonconvex Nonsmooth Multiobjective Fractional Programming

Yao Yuan-jin

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Abstract

In this paper,a class of nonsmooth multiobjective fractional programming problem is studied.First,by using Clarke generalized gradient,the concept of a class of generalized invexity function is introduced.And then,sufficient conditions of efficient solutions and weak efficient solutions for the class of nonsmooth multiobjective fractional programming problem are obtained and proved under the concept of the class of generalized invexity function.

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What this paper is about

In this paper,a class of nonsmooth multiobjective fractional programming problem is studied.First,by using Clarke generalized gradient,the concept of a class of generalized invexity function is introduced.And then,sufficient conditions of efficient solutions and weak efficient solutions for the class of nonsmooth multiobjective fractional programming problem are obtained and proved under the concept of the class of generalized invexity function.

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Available abstract

In this paper,a class of nonsmooth multiobjective fractional programming problem is studied.First,by using Clarke generalized gradient,the concept of a class of generalized invexity function is introduced.And then,sufficient conditions of efficient solutions and weak efficient solutions for the class of nonsmooth multiobjective fractional programming problem are obtained and proved under the concept of the class of generalized invexity function.

Key concepts: Fractional programming, Class (philosophy), Mathematics, Mathematical optimization, Multiobjective programming, Function (biology), Applied mathematics, Multi-objective optimization

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Optimality Conditions for a Class of Nonconvex Nonsmooth Multiobjective Fractional Programming — Research Paper | ScholarLens