On generalized Pata type contractions

Geno Kadwin Jacob; M. S. Khan; Choonkil Park; Sungsik Yun

doi:10.3390/math6020025

On generalized Pata type contractions

Geno Kadwin Jacob, M. S. Khan, Choonkil Park^*, Sungsik Yun

^*Corresponding author for this work

Mathematics & Statistics

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

6 Citations (Scopus)

Abstract

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" by vittorino Pata.

Original language	English
Article number	25
Journal	Mathematics
Volume	6
Issue number	2
DOIs	https://doi.org/10.3390/math6020025
Publication status	Published - Feb 13 2018

Keywords

Fixed point
Pata mapping
Proximity point
Zamfirescu mapping

ASJC Scopus subject areas

Mathematics(all)

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10.3390/math6020025

Cite this

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title = "On generalized Pata type contractions",

abstract = "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{"} by vittorino Pata.",

keywords = "Fixed point, Pata mapping, Proximity point, Zamfirescu mapping",

author = "Jacob, {Geno Kadwin} and Khan, {M. S.} and Choonkil Park and Sungsik Yun",

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AU - Jacob, Geno Kadwin

AU - Khan, M. S.

AU - Park, Choonkil

AU - Yun, Sungsik

PY - 2018/2/13

Y1 - 2018/2/13

N2 - 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" by vittorino Pata.

AB - 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" by vittorino Pata.

KW - Fixed point

KW - Pata mapping

KW - Proximity point

KW - Zamfirescu mapping

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On generalized Pata type contractions

Abstract

Keywords

ASJC Scopus subject areas

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