Geodesic
Existence and Stability of Solutions of a Global Setvalued Optimization Problem
Yugoslav journal of operations research, Tome 32 (2022) no. 3, p. 357 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper we consider a best proximity point problem whose purpose is to determine the minimum distance between two sets. It is a global optimization problem by its very nature which is solved by converting it into a problem of finding an optimal approximate solution of a fixed point inclusion for a coupled setvalued mapping. Two solutions are obtained simultaneausly through an iteration. We introduce certain definitions which are used in our theorems. We investigate the data dependence property of the proximity point sets and establish a weak stability result for the proximity point sets. There are some illustrative examples. The broad area of the present study is setvalued optimization.
Classification : 47H10, 54H10, 54H25
Keywords: metric space, coupled best proximity point, proximal $\alpha$-dominating mapping, generalized coupled proximal contraction, data dependence property, stability 
@article{YJOR_2022_32_3_a3,
     author = {Binayak S. Choudhury and Nikhilesh Metiya and Sunirmal Kundu and Pranati Maity},
     title = {Existence and {Stability} of {Solutions} of a {Global} {Setvalued} {Optimization} {Problem}},
     journal = {Yugoslav journal of operations research},
     pages = {357 },
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2022_32_3_a3/}
}
TY  - JOUR
AU  - Binayak S. Choudhury
AU  - Nikhilesh Metiya
AU  - Sunirmal Kundu
AU  - Pranati Maity
TI  - Existence and Stability of Solutions of a Global Setvalued Optimization Problem
JO  - Yugoslav journal of operations research
PY  - 2022
SP  - 357 
VL  - 32
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/YJOR_2022_32_3_a3/
LA  - en
ID  - YJOR_2022_32_3_a3
ER  - 
%0 Journal Article
%A Binayak S. Choudhury
%A Nikhilesh Metiya
%A Sunirmal Kundu
%A Pranati Maity
%T Existence and Stability of Solutions of a Global Setvalued Optimization Problem
%J Yugoslav journal of operations research
%D 2022
%P 357 
%V 32
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/YJOR_2022_32_3_a3/
%G en
%F YJOR_2022_32_3_a3
Binayak S. Choudhury; Nikhilesh Metiya; Sunirmal Kundu; Pranati Maity. Existence and Stability of Solutions of a Global Setvalued Optimization Problem. Yugoslav journal of operations research, Tome 32 (2022) no. 3, p. 357 . http://geodesic.mathdoc.fr/item/YJOR_2022_32_3_a3/