Characterization of caristi type mapping through its absolute derivative

M. Muslikh; A. Kilicman; S. H. Sapar; N. Bachok

Characterization of caristi type mapping through its absolute derivative

M. Muslikh
, A. Kilicman
, S. H. Sapar
, N. Bachok

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

The purpose of this article 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 tested through its absolute derivative.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Australian Journal of Mathematical Analysis and Applications
Volume	16
Issue number	1
Publication status	Published - 2019

Keywords

Differentiation
Fixed point theorem
Mean Value Theorem
Metric spaces

Cite this

@article{e8273a7932c04f56b3caf7ac5ef766a8,

title = "Characterization of caristi type mapping through its absolute derivative",

abstract = "The purpose of this article 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 tested through its absolute derivative.",

keywords = "Differentiation, Fixed point theorem, Mean Value Theorem, Metric spaces",

author = "M. Muslikh and A. Kilicman and Sapar, \{S. H.\} and N. Bachok",

note = "Publisher Copyright: {\textcopyright} 2019 Austral Internet Publishing.",

year = "2019",

language = "English",

volume = "16",

pages = "1--10",

journal = "Australian Journal of Mathematical Analysis and Applications",

issn = "1449-5910",

publisher = "Austral Internet Publishing",

number = "1",

}

TY - JOUR

T1 - Characterization of caristi type mapping through its absolute derivative

AU - Muslikh, M.

AU - Kilicman, A.

AU - Sapar, S. H.

AU - Bachok, N.

PY - 2019

Y1 - 2019

N2 - The purpose of this article 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 tested through its absolute derivative.

AB - The purpose of this article 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 tested through its absolute derivative.

KW - Differentiation

KW - Fixed point theorem

KW - Mean Value Theorem

KW - Metric spaces

UR - https://www.scopus.com/pages/publications/85062651299

M3 - Article

AN - SCOPUS:85062651299

SN - 1449-5910

VL - 16

SP - 1

EP - 10

JO - Australian Journal of Mathematical Analysis and Applications

JF - Australian Journal of Mathematical Analysis and Applications

IS - 1

ER -

Characterization of caristi type mapping through its absolute derivative

Abstract

Keywords

Other files and links

Cite this