On Generalized Pata Type Contractions

On Generalized Pata Type Contractions

In this paper, the existence of fixed point for Pata type Zamfirescu mapping in a complete metric space is proved. Our result give existence of fixed point for a wider class of functions and also prove the existence of best proximity point to the result on “A fixed point theorem in metric spaces”, g...

Full description

Bibliographic Details
Main Authors: Geno Kadwin Jacob, M. S. Khan, Choonkil Park, Sungsik Yun
Format: Article
Language:English
Published: MDPI AG 2018-02-01
Series:Mathematics
Subjects:
Zamfirescu mapping
Pata mapping
fixed point
proximity point
Online Access:http://www.mdpi.com/2227-7390/6/2/25
id doaj-4a597397432f4281aeb47aab0edad5d5
record_format Article
spelling doaj-4a597397432f4281aeb47aab0edad5d52020-11-24T22:02:19ZengMDPI AGMathematics2227-73902018-02-01622510.3390/math6020025math6020025On Generalized Pata Type ContractionsGeno Kadwin Jacob0M. S. Khan1Choonkil Park2Sungsik Yun3Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamil Nadu, IndiaDepartment of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Muscat 123, Sultanate of OmanResearch Institute for Natural Sciences, Hanyang University, Seoul 04763, KoreaDepartment of Financial Mathematics, Hanshin University, Gyeonggi-do 18101, KoreaIn this paper, the existence of fixed point for Pata type Zamfirescu mapping in a complete metric space is proved. Our result give existence of fixed point for a wider class of functions and also prove the existence of best proximity point to the result on “A fixed point theorem in metric spaces”, given by vittorino Pata.http://www.mdpi.com/2227-7390/6/2/25Zamfirescu mappingPata mappingfixed pointproximity point
collection DOAJ
language English
format Article
sources DOAJ
author Geno Kadwin Jacob
M. S. Khan
Choonkil Park
Sungsik Yun
spellingShingle Geno Kadwin Jacob
M. S. Khan
Choonkil Park
Sungsik Yun
On Generalized Pata Type Contractions
Mathematics
Zamfirescu mapping
Pata mapping
fixed point
proximity point
author_facet Geno Kadwin Jacob
M. S. Khan
Choonkil Park
Sungsik Yun
author_sort Geno Kadwin Jacob
title On Generalized Pata Type Contractions
title_short On Generalized Pata Type Contractions
title_full On Generalized Pata Type Contractions
title_fullStr On Generalized Pata Type Contractions
title_full_unstemmed On Generalized Pata Type Contractions
title_sort on generalized pata type contractions
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2018-02-01
description In this paper, the existence of fixed point for Pata type Zamfirescu mapping in a complete metric space is proved. Our result give existence of fixed point for a wider class of functions and also prove the existence of best proximity point to the result on “A fixed point theorem in metric spaces”, given by vittorino Pata.
topic Zamfirescu mapping
Pata mapping
fixed point
proximity point
url http://www.mdpi.com/2227-7390/6/2/25
work_keys_str_mv AT genokadwinjacob ongeneralizedpatatypecontractions
AT mskhan ongeneralizedpatatypecontractions
AT choonkilpark ongeneralizedpatatypecontractions
AT sungsikyun ongeneralizedpatatypecontractions
_version_ 1725836427831279616

Similar Items