Common Fixed-Point Theorems of Caristi-Type Mappings by Using its Absolute Derivative

Authors

Mohamad Muslikh, Department Mathematics, University of Brawijaya, Malang 65145, IndonesiaFollow
Adem Kılıcman, Department Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia\\ Istanbul Gelisim University, Avcilar, TurkeyFollow
Siti Hasana bt Sapar, Department Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow
Norfifah bt Bachok, Department Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow

Author Country (or Countries)

Indonesia

Abstract

In this article, we introduce common fixed-point theorems of Caristi-type mappings by using the absolute derivative of the mapping as a generator of its Caristi-type maps. The common fixed-point theorem that we obtain covers the single-valued and set-valued mappings. Some of the examples are given to support usability of our result.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130103

Recommended Citation

Muslikh, Mohamad; Kılıcman, Adem; Hasana bt Sapar, Siti; and bt Bachok, Norfifah (2019) "Common Fixed-Point Theorems of Caristi-Type Mappings by Using its Absolute Derivative," Applied Mathematics & Information Sciences: Vol. 13: Iss. 1, Article 3.
DOI: http://dx.doi.org/10.18576/amis/130103
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss1/3