Perturbation function

Wolfe duality

Combinatorics

Pure mathematics

Dual (grammatical number)

Mathematics

Duality gap

Weak duality

Mathematical optimization

Regular polygon

Convex analysis

Convex optimization

Strong duality

Optimization problem

Philosophy

Artificial intelligence

Class (philosophy)

Geometry

Converse

Duality (order theory)

Computer science

Linguistics

Fenchel's duality theorem

Chongqing Shifan Daxue xuebao. Ziran kexue ban

In this paper duality in a class of nonsmooth B-(p,r)programming problem with equality and inequality constraints is considered.Weak duality,strong duality,converse duality and strict converse duality are researched in Mond Weir dual under strict B-(p,r) invexity of λf+∑mi=1μigi+∑pj=1vjhj.Weak duality and strong duality are researched in Wolf dual under B-(p,r) invexity of f+∑mi=1μigi+∑pj=1vjhj and restricted converse duality and strict converse duality are researched under strict B-(p,r) invexity.Some conrresponding duality theorems are proved without any constraints.Our results generalize and improve some known results.

Mond Weir Dual and Wolf Dual in a Class of Nonsmooth Programming Problems