2009•Unpublished venueRequires access

Optimality Conditions for a Class of Nonconvex Nonlinear Fractional Programming

Yao Yuan-jin

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Abstract

In this paper,several classes of new generalized invexity conditions are defined on the basis of defined generalized invexity conditions.They are generalized invex,generalized pseudoconvex,generalized quasiconvex function and so on.The convex function is more widely extended.And then some optimal sufficient conditions are proved under these new generalized invexity sufficient conditions for a class of nonconvex nonlinear fractional programming.

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What this paper is about

In this paper,several classes of new generalized invexity conditions are defined on the basis of defined generalized invexity conditions.They are generalized invex,generalized pseudoconvex,generalized quasiconvex function and so on.The convex function is more widely extended.And then some optimal sufficient conditions are proved under these new generalized invexity sufficient conditions for a class of nonconvex nonlinear fractional programming.

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Available abstract

In this paper,several classes of new generalized invexity conditions are defined on the basis of defined generalized invexity conditions.They are generalized invex,generalized pseudoconvex,generalized quasiconvex function and so on.The convex function is more widely extended.And then some optimal sufficient conditions are proved under these new generalized invexity sufficient conditions for a class of nonconvex nonlinear fractional programming.

Key concepts: Quasiconvex function, Mathematics, Fractional programming, Class (philosophy), Nonlinear system, Applied mathematics, Regular polygon, Function (biology)

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