Optimality, duality and saddle point analysis for interval-valued nondifferentiable multiobjective fractional programming problems

Optimization ◽  
2020 ◽  
pp. 1-31
Author(s):  
Bilal Ahmad Dar ◽  
Anurag Jayswal ◽  
Deepak Singh
Keyword(s):  
Saddle Point ◽  
Fractional Programming ◽  
Multiobjective Fractional Programming ◽  
Point Analysis ◽  
Interval Valued

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.

Saddle point criteria in semi-infinite minimax fractional programming under (Φ,ρ)-invexity

Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2557-2574 ◽  
Author(s):  
Tadeusz Antczak
Keyword(s):  
Saddle Point ◽  
Fractional Programming ◽  
Generalized Convexity ◽  
Equality Constraints ◽  
New Class ◽  
Minimax Fractional Programming

Semi-infinite minimax fractional programming problems with both inequality and equality constraints are considered. The sets of parametric saddle point conditions are established for a new class of nonconvex differentiable semi-infinite minimax fractional programming problems under(?,?)-invexity assumptions. With the reference to the said concept of generalized convexity, we extend some results of saddle point criteria for a larger class of nonconvex semi-infinite minimax fractional programming problems in comparison to those ones previously established in the literature.

scholarly journals Symmetric dual multiobjective fractional programming

1991 ◽  
Vol 50 (1) ◽  
pp. 67-74 ◽  
Author(s):  
T. Weir
Keyword(s):  
Fractional Programming ◽  
Multiobjective Fractional Programming ◽  
Duality Theorems

AbstractA pair of symmetric dual multiobjective fractional programming problems is formulated and appropriate duality theorems are established.

Hierarchical Clustering of Dynamical Networks Using a Saddle-Point Analysis

2013 ◽  
Vol 58 (1) ◽  
pp. 113-124 ◽  
Author(s):  
Mathias Burger ◽  
Daniel Zelazo ◽  
Frank Allgower
Keyword(s):  
Saddle Point ◽  
Hierarchical Clustering ◽  
Dynamical Networks ◽  
Point Analysis
Sign in / Sign up

Export Citation Format

Share Document