Saddlepoint Problems in Nondifferentiable Programming

1990 ◽  
Vol 11 (2) ◽  
pp. 231-248
Author(s):  
Thomas W. Reiland
Keyword(s):  
Nondifferentiable Programming ◽  
Saddlepoint Problems

scholarly journals On a complementarity problem associated with nondifferentiable programming

1984 ◽  
Vol 25 (3) ◽  
pp. 419-430 ◽  
Author(s):  
B. D. Craven ◽  
B. Mond ◽  
J. Parida
Keyword(s):  
Existence Theorem ◽  
Stationary Point ◽  
Complementarity Problem ◽  
Optimal Solution ◽  
Nondifferentiable Programming ◽  
Regularity Conditions ◽  
Point Problem ◽  
Nonlinear Program ◽  
Existence Of A Solution

AbstractThis paper deals with the question of the existence of a solution to the stationary-point problem corresponding to a given nonlinear nondifferentiable program. An existence theorem for the stationary-point problem is presented under some convexity and regularity conditions on the functions involved, which also guarantee an optimal solution to the nonlinear program.

On second-order converse duality for a nondifferentiable programming problem

2005 ◽  
Vol 72 (2) ◽  
pp. 265-270 ◽  
Author(s):  
Xin Min Yang ◽  
Ping Zhang
Keyword(s):  
Programming Problem ◽  
Recent Work ◽  
Second Order ◽  
Nondifferentiable Programming ◽  
Converse Duality ◽  
Duality Results

Certain shortcomings are described in the second order converse duality results in the recent work of (J. Zhang and B. Mond, Bull. Austral. Math. Soc. 55(1997) 29–44). Appropriate modifications are suggested.

scholarly journals Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function

2013 ◽  
Vol 4 (1) ◽  
pp. 21-33
Author(s):  
Arun Kumar Tripathy
Keyword(s):  
Second Order ◽  
Nondifferentiable Programming ◽  
Square Root ◽  
Symmetric Duality ◽  
New Class ◽  
Duality Results ◽  
Special Cases ◽  
Mild Assumption ◽  
Root Term

In this paper, a new class of second order (Φ,ρ)-univex and second order (Φ,ρ)-pseudo univex function are introduced with example. A pair Mond-Weir type second order mixed symmetric duality for multiobjective nondifferentiable programming is formulated and the duality results are established under the mild assumption of second order (∅,ρ) univexity and second order pseudo univexity. Special cases are discussed to show that this study extends some of the known results in related domain..

Sign in / Sign up

Export Citation Format

Share Document