Optimality Conditions and Duality Involving Arcwise Connected and Generalized Arcwise Connected Functions

1999 ◽  
Vol 100 (1) ◽  
pp. 181-194 ◽  
Author(s):  
D. Bhatia ◽  
A. Mehra
Keyword(s):  
Optimality Conditions ◽  
Arcwise Connected Functions ◽  
Arcwise Connected

scholarly journals A note on arewise connected sets and functions

1985 ◽  
Vol 31 (3) ◽  
pp. 369-375 ◽  
Author(s):  
Shri Ram Yadav ◽  
R.N. Mukherjee
Keyword(s):  
Mathematical Programming ◽  
Programming Problem ◽  
Mathematical Programming Problem ◽  
Basic Properties ◽  
New Class ◽  
Connected Sets ◽  
Arcwise Connected Functions ◽  
Arcwise Connected ◽  
Class Of Functions

We introduce a new class of generalized arcwise connected functions and discuss their basic properties. Our generalization is illustrated by an example and an application is given for a mathematical programming problem involving this new class of functions.

OPTIMALITY OF GLOBAL PROPER EFFICIENCY FOR CONE-ARCWISE CONNECTED SET-VALUED OPTIMIZATION USING CONTINGENT EPIDERIVATIVE

2013 ◽  
Vol 30 (03) ◽  
pp. 1340004 ◽  
Author(s):  
GUOLIN YU
Keyword(s):  
Optimality Conditions ◽  
Optimization Problem ◽  
Vector Optimization Problem ◽  
Proper Efficiency ◽  
Sufficient Optimality Conditions ◽  
Set Valued Mapping ◽  
Contingent Epiderivative ◽  
Connected Set ◽  
Arcwise Connected ◽  
Necessary And Sufficient

This note deals with the optimality conditions of set-valued unconstraint optimization problem in real normed linear spaces. Based upon the concept of contingent epiderivative, the unified necessary and sufficient optimality conditions for global proper efficiency in vector optimization problem involving cone-arcwise connected set-valued mapping are presented.

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