|Start Page Number:||617|
|End Page Number:||642|
|Publication Date:||Nov 2016|
|Journal:||Journal of Optimization Theory and Applications|
|Authors:||Yen Nguyen, Hang Nguyen|
|Keywords:||programming: convex, heuristics|
This paper is concerned with two d.p. (difference of polyhedral convex functions) programming models, unconstrained and linearly constrained, in a finite‐dimensional setting. We obtain exact formulae for the Fréchet and Mordukhovich subdifferentials of a d.p. function. We establish optimality conditions via subdifferentials in the sense of convex analysis, of Fréchet and of Mordukhovich, and describe their relationships. Existence and computation of descent and steepest descent directions for both the models are also studied.