Version 1
: Received: 30 March 2018 / Approved: 3 April 2018 / Online: 3 April 2018 (15:30:34 CEST)
How to cite:
Muslikh, M.; Kilicman, A.; Hasana, S.; Bachok, N. Characterization of Caristi Type Mapping through its Absolute Derivative. Preprints2018, 2018040038. https://doi.org/10.20944/preprints201804.0038.v1
Muslikh, M.; Kilicman, A.; Hasana, S.; Bachok, N. Characterization of Caristi Type Mapping through its Absolute Derivative. Preprints 2018, 2018040038. https://doi.org/10.20944/preprints201804.0038.v1
Muslikh, M.; Kilicman, A.; Hasana, S.; Bachok, N. Characterization of Caristi Type Mapping through its Absolute Derivative. Preprints2018, 2018040038. https://doi.org/10.20944/preprints201804.0038.v1
APA Style
Muslikh, M., Kilicman, A., Hasana, S., & Bachok, N. (2018). Characterization of Caristi Type Mapping through its Absolute Derivative. Preprints. https://doi.org/10.20944/preprints201804.0038.v1
Chicago/Turabian Style
Muslikh, M., Siti Hasana and Norfifah Bachok. 2018 "Characterization of Caristi Type Mapping through its Absolute Derivative" Preprints. https://doi.org/10.20944/preprints201804.0038.v1
Abstract
The purpose of this article is to characterize the Caristi type mapping by the absolute derivative. The equivalences of the Caristi mapping with contraction mapping is discussed too. In addition, it was shown that the contraction mapping can be characterized by its absolute derivative.
Keywords
Fixed point theorem; Differentiation; Metric space
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.