Second-Order Symmetric Duality for Multiple Objectives Nonlinear Programming Under Generalizations of Cone-Preinvexity Functions
نویسندگان
چکیده
Abstract In this article, we present generalizations of the cone-preinvexity functions and study a pair second-order symmetric solutions for multiple objective nonlinear programming problems under these functions. addition, establish prove theorems weak duality, strong strict converse self-duality by assuming skew-symmetric Finally, provide four nontrivial numerical examples to demonstrate that results duality are true.
منابع مشابه
Duality for second-order symmetric multiobjective programming with cone constraints
In this paper, a new pair of Mond-Weir type multiobjective second-order symmetric dual models with cone constraints is formulated in which the objective function is optimised with respect to an arbitrary closed convex cone. Usual duality relations are further established under K-η-bonvexity/second-order symmetric dual K-H-convexity assumptions. A nontrivial example has also been illustrated to ...
متن کاملSecond order symmetric duality for nonlinear multiobjective mixed integer programming
9 Abstract 10 We formulate two pairs of second order symmetric duality for nonlinear multiobjective mixed integer programs for 11 arbitrary cones. By using the concept of efficiency and second order invexity, we establish the weak, strong, converse 12 and self-duality theorems for our dual models. Several known results are obtained as special cases. 17 Following the earlier works of Dorn [5], D...
متن کاملSecond Order Converse Duality for Nonlinear Programming
Chandra and Abha [European J. Oper. Res. 122 (2000), 161-165] considered a nonlinear programming problem over cone constraints and presented the correct forms of its four types of duals formulated by Nanda and Das [European J. Oper. Res. 88 (1996) 572-577]. Yang et al. [Indian J. Pure Appl. Math. 35 (2004), 699-708] considered the same problem and discussed weak and strong duality for its four ...
متن کاملOn multiobjective second order symmetric duality with cone constraints
Article history: Received 10 October 2007 Accepted 24 August 2009 Available online 15 September 2009
متن کاملMultiobjective second order symmetric duality with cone constraints
Abstract. We introduce two pairs of nondifferentiable multiobjective second order symmetric dual problems with cone constraints over arbitrary closed convex cones, which is different from the one proposed by Mishra and Lai [12]. Under suitable second order pseudo-invexity assumptions we establish weak, strong and converse duality theorems as well as self-duality relations. Our symmetric duality...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2023
ISSN: ['1573-7691', '0885-7474']
DOI: https://doi.org/10.1007/s10915-023-02114-8