An application of $φ$-metric and related best proximity point results generalizing Wardowski's fixed point theorem: Real Functions and Algebra

Strany: 123 - 134

Jazyk: eng

In this article, an application of $φ$-metric is given via a geometrical example to show how it can help to measure distance for non-planar surfaces where the classical metric becomes incapable. We also introduce the concept of best proximity point and proximal contraction for a class of mappings in a $φ$-metric space and prove a best proximity point theorem for such class of contraction mappings from which the famous ``Wardowski's fixed point theorem'' can be deduced as a particular case. To support our theorem, we provide an example in which Wardowski's metric fixed point theorem cannot be applied.

ISO 690:

Das, A., Som, S., Kalita, H., Bag, T. 2024. An application of $φ$-metric and related best proximity point results generalizing Wardowski's fixed point theorem: Real Functions and Algebra. In Tatra Mountains Mathematical Publications, vol. 86, no.1, pp. 123-134. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2024-0011

APA:

Das, A., Som, S., Kalita, H., Bag, T. (2024). An application of $φ$-metric and related best proximity point results generalizing Wardowski's fixed point theorem: Real Functions and Algebra. Tatra Mountains Mathematical Publications, 86(1), 123-134. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2024-0011

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/