• Optimality and duality results...

Result: Optimality and duality results for (h,φ)-nondifferentiable multiobjective programming problems with (h,φ) – (b,f,ρ) -convex functions

Title:
Optimality and duality results for (h,φ)-nondifferentiable multiobjective programming problems with (h,φ) – (b,f,ρ) -convex functions
Authors:
Tadeusz Antczak, Vinay Singh, Mohan Subba
Source:
Filomat. 36:4139-4156
Publisher Information:
National Library of Serbia, 2022.
Publication Year:
2022
Document Type:
Academic journal Article
Language:
English
ISSN:
2406-0933
0354-5180
DOI:
10.2298/fil2212139a
Rights:
CC 0
Accession Number:
edsair.doi...........b9fa5a55ea303dbc241a59aaaf870d17
Database:
OpenAIRE

Further Information

Generalized algebraic operations introduced by Ben-Tal [5] are used to define new classes of generalized convex functions, namely (h,?)?(b,F,?) -convex functions and generalized (h,?)?(b,F,?)-convex functions in the vectorial case. Further, optimality and duality results are proved for the considered (h,?)- nondifferentiable multiobjective programming problem under assumptions that the functions involved are (generalized) (h,?)- (b,F,?)-convex.