Minimal element theorems and Ekeland's variational principle with new set order relations
Minimal element theorems and Ekeland's variational principle with new set order relations
By using scalarization functions, we study minimal element theorem, Ekeland's variational principle, Caristi's fixed point theorem, Takahashi's minimization theorem under the set order relations on the family of sets defined by means of Minkowski difference. We also give some characterizations of set order relations in terms of oriented distance function.
Caristi's fixed point theorem, Ekeland's variational principle, Minimal element theorem, Nonlinear scalarization functions, Oriented distance function, Set order relations, Set-valued maps, Takahashi's minimization theorem
1127-1139
Ansart, Qamrul Hasan
2ca25bfc-3dcd-43b2-b321-0d41f7bc2d2f
Sharma, Pradeep Kumar
142e7e4c-4dfa-4b91-9e7f-f2eda70380bf
Yao, Jen Chih
036d51bb-3618-4966-a72f-707a4eb6091b
August 2018
Ansart, Qamrul Hasan
2ca25bfc-3dcd-43b2-b321-0d41f7bc2d2f
Sharma, Pradeep Kumar
142e7e4c-4dfa-4b91-9e7f-f2eda70380bf
Yao, Jen Chih
036d51bb-3618-4966-a72f-707a4eb6091b
Ansart, Qamrul Hasan, Sharma, Pradeep Kumar and Yao, Jen Chih
(2018)
Minimal element theorems and Ekeland's variational principle with new set order relations.
Journal of Nonlinear and Convex Analysis, 19 (7), .
Abstract
By using scalarization functions, we study minimal element theorem, Ekeland's variational principle, Caristi's fixed point theorem, Takahashi's minimization theorem under the set order relations on the family of sets defined by means of Minkowski difference. We also give some characterizations of set order relations in terms of oriented distance function.
This record has no associated files available for download.
More information
Published date: August 2018
Keywords:
Caristi's fixed point theorem, Ekeland's variational principle, Minimal element theorem, Nonlinear scalarization functions, Oriented distance function, Set order relations, Set-valued maps, Takahashi's minimization theorem
Identifiers
Local EPrints ID: 485515
URI: http://eprints.soton.ac.uk/id/eprint/485515
ISSN: 1345-4773
PURE UUID: 4239f54a-f1f5-4949-83c6-474280f4fb4e
Catalogue record
Date deposited: 07 Dec 2023 17:42
Last modified: 14 Mar 2024 03:30
Export record
Contributors
Author:
Qamrul Hasan Ansart
Author:
Pradeep Kumar Sharma
Author:
Jen Chih Yao
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics