Jiagen Liao, Tingsong Du, "On (B;m)-Preinvex Functions and Optimality Conditions for (B;m)-Preinvex Programming," WSEAS Transactions on Mathematics, vol. 17, pp. 85-92, 2018, DOI:
Jiagen Liao, Tingsong Du. On (B;m)-Preinvex Functions and Optimality Conditions for (B;m)-Preinvex Programming.
WSEAS Transactions on Mathematics. 2018;17:85-92.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
On (B;m)-Preinvex Functions and Optimality Conditions for (B;m)-Preinvex Programming
Authors: ,
Abstract: A new class of generalized invex sets and generalized preinvex functions, called m-invex sets and (B;m)-preinvex functions are defined by modulating them-convexity and B-preinvexity. Furthermore, some characterizations of (B;m)-preinvex functions are presented and the sufficient conditions of (B;m)-preinvex programming are established. In addition the nonlinear multi-objective programming with (B;m)-preinvex functions are considered and some relationships between vector critical point and weakly efficient solution for multi-objective programming with (B;m)-preinvexity are researched.
Keywords:
(B, m)-preinvex functions, m-invex sets, (B, m)-invex sets, (B, m)-preinvex programming, multiobjective programming
Pages: 85-92 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #13 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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