Fixed Point Theorems for α − μ − 1 − 1−Upclass Contractions in Complete Metric Spaces

Hojat Ansari, Arslan; D. Mitrovi´c, Zoran; Phudolsitthiphat, Narawadee; Yamaod, Oratai; Wiriyapongsanon, Atit

doi:10.311581/JAMDA.2509.1009.1.4.3

Fixed Point Theorems for α − μ − 1 − 1−Upclass Contractions in Complete Metric Spaces

Document Type : Research Article

Authors

Arslan Hojat Ansari ¹

Zoran D. Mitrovi´c ²

Narawadee Phudolsitthiphat ³

Oratai Yamaod ⁴

Atit Wiriyapongsanon ⁵

¹ Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

² Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

³ Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand

⁴ Faculty of Sport and Health Sciences, Thailand National Sports University Suphanburi Campus, Suphanburi, Thailand

⁵ Faculty of Sport and Health Sciences, Thailand National Sports University Lampang Campus, Lampang, Thailand

10.311581/JAMDA.2509.1009.1.4.3

Abstract

In this paper, we extend the concept of contraction by presenting a new mapping called α − μ − 1 − 1−upclass contraction. We investigate the existence of fixed points for these mappings within complete metric spaces. Moreover, we furnish a demonstrative example to support our principal finding.

Keywords

Fixed point

complete metric space

&alpha

&mu

&minus

1 &minus

1&minus

upclass contraction