Wt0-distance and best proximity points involving b-simulation functions

Author:

Kostic Aleksandar1ORCID,Rahimi Hamidreza2,Rad Soleimani2

Affiliation:

1. Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia

2. Department of Mathematics Central Tehran Branch Islamic Azad University Tehran, Iran

Abstract

We define wt0-distance which is a special type of wt-distance and obtain some best proximity point theorems involving b-simulation functions. Our results are significant, since we replace simulation function with b-simulation function, metric space with b-metric space, and w0-distance and wt-distance with wt0-distance. We also provide some examples to support our results.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference18 articles.

1. H. Argoubi, B. Samet, C. Vetro, Nonlinear contractions involving simulation functions in metric space with a partial order, J. Nonlinear Sci. Appl. 8 (2015) 1082-1094.

2. I.A. Bakhtin, Contraction mapping principle in almost metric space, Funkts. Anal. 30 (1989) 26-37 (in Russian).

3. M. Bota, A. Molnar, C. Varga, On Ekeland’s variational principle in b-metric spaces, Fixed Point Theory 12 (2) (2011) 21-28.

4. S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostrav. 1 (1) (1993) 5-11.

5. M. Demma, R. Saadati, P. Vetro, Fixed point results on b-metric space via Picard sequences and b-simulation functions, Iran. J. Math. Sci. Inform. 11 (1) (2016) 123-136.

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