GENERALIZED B-VEX FUNCTIONS AND GENERALIZED B-VEX PROGRAMMING

被引：98

作者：

BECTOR, CR ^{[1
]}

SUNEJA, SK ^{[1
]}

LALITHA, CS ^{[1
]}

机构：

[1] UNIV DELHI,DEPT MATH,DELHI 110007,INDIA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1993年 / 76卷 / 03期

关键词：

CONVEX FUNCTIONS; B-VEX FUNCTIONS; INVEX FUNCTIONS; PREINVEX FUNCTIONS; PSEUDOCONVEX FUNCTIONS; QUASI-CONVEX FUNCTIONS;

D O I：

10.1007/BF00939383

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A class of functions called pseudo B-vex and quasi B-vex functions is introduced by relaxing the definitions of B-vex, pseudoconvex, and quasiconvex functions. Similarly, the class of B-invex, pseudo B-invex, and quasi B-invex functions is defined as a generalization of B-vex, pseudo B-vex, and quasi B-vex functions. The sufficient optimality conditions and duality results are obtained for a nonlinear programming problem involving B-vex and B-invex functions.

引用

页码：561 / 576

页数：16

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