Semilocally b-vex and related functions

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Article ID:	iaor19931183
Country:	India
Volume:	29
Issue:	2
Start Page Number:	136
End Page Number:	146
Publication Date:	Jun 1992
Journal:	OPSEARCH
Authors:	Suneja S.K., Gupta Sudha
Keywords:	programming: nonlinear

Abstract:

The object of this paper is to define semilocally b-vex, semilocally quasi b-vex and semilocally pseudo b-vex functions as a generalization of b-vex and semilocally convex functions. Some of their properties are discussed and interrelations between these functions and semilocally convex, semilocally quasiconvex and semilocally pseudoconvex functions are obtained.

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