Nonsmooth Interval-Valued Optimization and Saddle-Point Optimality Criteria

2015 ◽  
Vol 39 (4) ◽  
pp. 1391-1411 ◽  
Author(s):  
Anurag Jayswal ◽  
I. Ahmad ◽  
Jonaki Banerjee
Keyword(s):  
Saddle Point ◽  
Optimality Criteria ◽  
Interval Valued

scholarly journals Saddle Point Optimality Criteria of Interval Valued Non-Linear Programming Problem

2021 ◽  
Vol 38 (3) ◽  
pp. 351-364
Author(s):  
Md Sadikur Rahman ◽  
Emad E. Mahmoud ◽  
Ali Akbar Shaikh ◽  
Abdel-Haleem Abdel-Aty ◽  
Asoke Kumar Bhunia
Keyword(s):  
Linear Programming ◽  
Saddle Point ◽  
Programming Problem ◽  
Linear Programming Problem ◽  
Optimality Criteria ◽  
Non Linear Programming ◽  
Non Linear ◽  
Interval Valued

scholarly journals On semidifferentiable interval-valued programming problems

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Kin Keung Lai ◽  
Avanish Shahi ◽  
Shashi Kant Mishra
Keyword(s):  
Saddle Point ◽  
Optimality Conditions ◽  
Minimization Problem ◽  
Optimal Solution ◽  
Optimality Criteria ◽  
Lagrangian Function ◽  
Sufficient Optimality Conditions ◽  
Duality Theorems ◽  
Preinvex Functions ◽  
Interval Valued

AbstractIn 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.

scholarly journals On properties of semipreinvex functions

2003 ◽  
Vol 68 (3) ◽  
pp. 449-459 ◽  
Author(s):  
X. M. Yang ◽  
X. Q. Yang ◽  
K. L. Teo
Keyword(s):  
Saddle Point ◽  
Programming Problem ◽  
Fractional Programming ◽  
Optimality Criteria ◽  
Multiobjective Fractional Programming ◽  
Fractional Programming Problem ◽  
Basic Properties ◽  
Multiobjective Fractional Programming Problem ◽  
Semipreinvex Functions

In this paper, we first discuss some basic properties of semipreinvex functions. We then show that the ratio of semipreinvex functions is semipreinvex, which extends earlier results by Khan and Hanson [6] and Craven and Mond [3]. Finally, saddle point optimality criteria are developed for a multiobjective fractional programming problem under semipreinvexity conditions.

Duality and saddle-point type optimality for interval-valued programming

2013 ◽  
Vol 8 (3) ◽  
pp. 1077-1091 ◽  
Author(s):  
Yuhua Sun ◽  
Xiumei Xu ◽  
Laisheng Wang
Keyword(s):  
Saddle Point ◽  
Point Type ◽  
Interval Valued
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