Proceedings of the
The Nineteenth International Conference on Computational Intelligence and Security (CIS 2023)
December 1 – 4, 2023, Haikou, China
A Class of Wolfe-type Duality for Symmetric Differentiable Invex Multiobjective Programming
College of Mathematics and Computer Science, Yan'an University, China.
ABSTRACT
Firstly, with the help of Minch symmetric gradient, a new class of differentiable G−Bs−(p,r,ρ) invex functions is defined on the basis of B−(p,r) invex functions and G−ρ invex functions; secondly, a multiobjective programming model with inequality constraints and Wolfe-type dual model are established, and the Wolfe-type duality conditions under the convexity restriction of this function are discussed, and finally some duality theorems are derived, which further broaden the relevant conclusions of Wolfe-type duality in the existing literature.
Keywords: Minch symmetric gradient, Symmetric differentiable invex functions, Multiobjective programming, Duality conditions, Efficient solutions.
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College of Mathematics and Computer Science, Yan'an University, China.
ABSTRACT
Firstly, with the help of Minch symmetric gradient, a new class of differentiable G−Bs−(p,r,ρ) invex functions is defined on the basis of B−(p,r) invex functions and G−ρ invex functions; secondly, a multiobjective programming model with inequality constraints and Wolfe-type dual model are established, and the Wolfe-type duality conditions under the convexity restriction of this function are discussed, and finally some duality theorems are derived, which further broaden the relevant conclusions of Wolfe-type duality in the existing literature.
Keywords: Minch symmetric gradient, Symmetric differentiable invex functions, Multiobjective programming, Duality conditions, Efficient solutions.
Download PDF