Exponential type vector variational-like inequalities and vector optimization problems with exponential type invexities

2013 ◽  
Vol 45 (1-2) ◽  
pp. 87-97 ◽  
Author(s):  
Anurag Jayswal ◽  
Sarita Choudhury ◽  
Ram U. Verma
Keyword(s):  
Vector Optimization ◽  
Exponential Type ◽  
Optimization Problems ◽  
Vector Optimization Problems

scholarly journals Generalized Nonsmooth Exponential-Type Vector Variational-Like Inequalities and Nonsmooth Vector Optimization Problems in Asplund Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 345
Author(s):  
Syed Shakaib Irfan ◽  
Mijanur Rahaman ◽  
Iqbal Ahmad ◽  
Rais Ahmad ◽  
Saddam Husain
Keyword(s):  
Vector Optimization ◽  
Exponential Type ◽  
Optimization Problems ◽  
Existence Of Solution ◽  
Vector Optimization Problems ◽  
Limiting Subdifferential ◽  
Kkm Theorem ◽  
Nonsmooth Vector Optimization ◽  
Asplund Spaces ◽  
Mordukhovich Limiting Subdifferential

The aim of this article is to study new types of generalized nonsmooth exponential type vector variational-like inequality problems involving Mordukhovich limiting subdifferential operator. We establish some relationships between generalized nonsmooth exponential type vector variational-like inequality problems and vector optimization problems under some invexity assumptions. The celebrated Fan-KKM theorem is used to obtain the existence of solution of generalized nonsmooth exponential-type vector variational like inequality problems. In support of our main result, some examples are given. Our results presented in this article improve, extend, and generalize some known results offer in the literature.

Regularization of integer vector optimization problems

1993 ◽  
Vol 29 (3) ◽  
pp. 455-458 ◽  
Author(s):  
L. N. Kozeratskaya ◽  
T. T. Lebedeva ◽  
T. I. Sergienko
Keyword(s):  
Vector Optimization ◽  
Optimization Problems ◽  
Vector Optimization Problems ◽  
Integer Vector
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