• GENERALIZED INVEX FUNCTIONS AND THEIR PROPERTIES IN CONTINUOUS TIME PROGRAMMING
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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