Preprint Article Version 1 This version is not peer-reviewed

Characterization of Caristi Type Mapping through its Absolute Derivative

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. Preprints 2018, 2018040038 (doi: 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 (doi: 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.

Subject Areas

Fixed point theorem; Differentiation; Metric space

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