• GENERALIZED INVEX FUNCTIONS AND THEIR PROPERTIES IN CONTINUOUS TIME PROGRAMMING

Deo Brat Ojha*

Abstract


Notions of invexity as function and as set are generalized. The pre–invex functions with respect to  (without differentiability) have been generalized. In this paper, the class of pre–invex functions introduced under semi-continuity conditions for continuous time programming. Pre–invexity for a function can be achieved via an intermediate-point check. A characterization of a pre–invex function in terms of its relationship with an intermediate-point, pre–invexity and prequasi–invexity are extensions of the case of the treatment provided in the context of continuous time programming.

Keywords


Pre–invex function with respect to; Prequasi–invex function w.r.t .; Upper semi-continuous function; Lower semi continuous function .

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