LOWER SEMI-CONTINUITY IN A GENERALIZED METRIC SPACE

LOWER SEMI-CONTINUITY IN A GENERALIZED METRIC SPACE

Authors

  • Mehdi ASADI*, Alireza KHALESİ

Keywords:

Generalized metric, Fixed point, Partial metric space

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.

References

M. Asadi, On Ekeland's Variational Principle in M-metric spaces, Journal of Convex Analysis, 17(6) (2016) 1151-1158.

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

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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.

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.

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A. Tas, On Double Controlled Metric-Like Spaces and Related Fixed Point Theorems, 5(2) (2021) 167-172, Article Id: 2021:13.

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Published

2023-08-01

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Section

Articles

How to Cite

LOWER SEMI-CONTINUITY IN A GENERALIZED METRIC SPACE . (2023). Advances in the Theory of Nonlinear Analysis and Its Application, 6(1), 143-147. https://atnaea.org/index.php/journal/article/view/107