LOWER SEMI-CONTINUITY IN A GENERALIZED METRIC SPACE

Year 2022, , 143 - 147, 31.03.2022

Mehdi Asadı , Alireza Khalesi

https://doi.org/10.31197/atnaa.1013690

Cited By: 2

Abstract

In this paper, we verify the lower semi-continuity and Ekeland’s variational principle for very recent results in a generalized metric space which introduced by Mohamed Jleli and Bessem Samet [1]. And in the sequel we obtain certain fixed point theorems and related topics.

Keywords

Generalized metric, Fixed point, Partial metric space

References

• [1] M. Asadi, On Ekeland's Variational Principle in M-metric spaces, Journal of Convex Analysis, 17(6) (2016) 1151-1158.
• [2] M. Jleli and B. Samet, A generalized metric space and related fixed point theorems, Fixed Point Theory and Applications (2015) 2015:61, DOI 10.1186/s13663-015-0312-7
• [3] D. Khantwal, S. Aneja, U.C. Gairola, A 'fixed point theorem for (φ,ϕ)-convex contraction in metric spaces, 5(2) (2021) 240-245, Article Id: 2021:21.
• [4] F. Khojasteh, E. Karap?nar, H. Khandani, Some applications of Caristi's ?xed point theorem in metric spaces, Fixed Point Theory and Applications, 2016:16.
• [5] F. Khojasteh, A. Razani, S. Moradi, A fixed point of generalized TF-contraction mappings in cone metric spaces, Fixed Point Theory and Applications 2011:14.
• [6] M. Omidvari, S.M. Vaezpour, R. Saadati and S.J. Lee, Best proximity point theorems with Suzuki distances, Journal of Inequalities and Applications volume 2015:27.
• [7] A. Tas, On Double Controlled Metric-Like Spaces and Related Fixed Point Theorems, 5(2) (2021) 167-172, Article Id: 2021:13.