Ekeland's variational principle in complete quasi-G-metric spaces
Volume 12, Issue 3, pp 184--191
http://dx.doi.org/10.22436/jnsa.012.03.06
Publication Date: December 05, 2018
Submission Date: January 19, 2018
Revision Date: September 28, 2018
Accteptance Date: October 25, 2018
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Authors
E. Hashemi
- Department of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University, Alborz, Iran.
M. B. Ghaemi
- Department of Mathematics, Iran University of Science and Technology, Tehran, Iran.
Abstract
In this paper, by concept of \(\Gamma\)-function which is define on q-G-m (quasi-\(G\)-metric) space, we
establish a generalized Ekeland's variational principle in the setting of lower semicontinuous
from above. As application we prove generalized flower petal theorem in q-G-m.
Share and Cite
ISRP Style
E. Hashemi, M. B. Ghaemi, Ekeland's variational principle in complete quasi-G-metric spaces, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 3, 184--191
AMA Style
Hashemi E., Ghaemi M. B., Ekeland's variational principle in complete quasi-G-metric spaces. J. Nonlinear Sci. Appl. (2019); 12(3):184--191
Chicago/Turabian Style
Hashemi, E., Ghaemi, M. B.. "Ekeland's variational principle in complete quasi-G-metric spaces." Journal of Nonlinear Sciences and Applications, 12, no. 3 (2019): 184--191
Keywords
- \( \Gamma\)-Function, q-G-m space
- generalized EVP
- lower semicontinuous from above function
- generalized Caristi's (common) fixed point theorem
- nonconvex minimax theorem
- generalized flower petal theorem
MSC
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