Variational principles in analysis and existence of minimizers for functions on metric spaces

Functions defined on metric spaces are studied. For these functions, a generalized Caristi-like condition is introduced. It is shown that this condition is sufficient for a bounded below, lower semicontinuous function to attain its minimum. Criteria for a generalized Caristi-like condition to hold are derived. Generalizations of the Ekeland and Bishop-Phelps variational principles are obtained and compared with their prototypes. © 2019 Society for Industrial and Applied Mathematics Publications. All rights reserved.

Authors
Arutyunov A.V. 1, 2, 3 , Zhukovskiy S.E. 2, 4
Journal
SIAM Journal on Optimization
Number of issue
2
Language
English
Pages
994-1016
Status
Published
Link
External link
DOI
10.1137/18M1164287
Volume
29
Year
2019
Organizations
  • 1 Peoples' Friendship University of Russia, RUDN University, Moscow, 117198, Russian Federation
  • 2 Trapeznikov Institute of Control Sciences of RAS, Moscow, 117997, Russian Federation
  • 3 Institute for Information Transmission Problems of RAS, Moscow, 127051, Russian Federation
  • 4 Department of Higher Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141701, Russian Federation
Keywords
Bishop-Phelps variational principle; Ekeland variational principle; Existence of minima of functions on metric spaces
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38902/
Share

Other records

THE ANTIBIOTIC KNOWLEDGE, ATTITUDES AND BEHAVIORS OF PATIENTS, DOCTORS AND PHARMACISTS IN THE WHO EASTERN EUROPEAN REGION – A QUALITATIVE, COMPARATIVE ANALYSIS OF THE CULTURE OF ANTIBIOTIC USE IN ARMENIA, GEORGIA, KAZAKHSTAN, MOLDOVA, RUSSIA AND TAJIKISTAN

Article
Kaae S., Ghazaryan L., Pagava K., Korinteli I., Makalkina L., Zhetimkarinova G., Ikhambayeva A., Tentiuc E., Ratchina S., Zakharenkova P., Yusufi S., Maqsudova N., Druedahl L., Sporrong S.K., Cantarero L.A., Nørgaard L.S.
Research in Social and Administrative Pharmacy. Elsevier Inc.. 2019.