Journal
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume 2021, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1186/s13660-021-02566-2
Keywords
Interval-valued programming; Semidifferentials; Optimality; Duality; 90C30; 90C46
Categories
Funding
- Department of Science and Technology, SERB, New Delhi, India [MTR/2018/000121]
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In this paper, the semidifferentiable case of an interval-valued minimization problem was considered, and sufficient optimality conditions and Wolfe type as well as Mond-Weir type duality theorems were established under semilocal E-preinvex functions. Additionally, saddle-point optimality criteria were presented to relate an optimal solution of the semidifferentiable interval-valued programming problem and a saddle point of the Lagrangian function.
In this paper, we consider the semidifferentiable case of an interval-valued minimization problem and establish sufficient optimality conditions and Wolfe type as well as Mond-Weir type duality theorems under semilocal E-preinvex functions. Furthermore, we present saddle-point optimality criteria to relate an optimal solution of the semidifferentiable interval-valued programming problem and a saddle point of the Lagrangian function.
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