On generalized Pata type contractions
type: Item
instance of: scholarly article
title: On generalized Pata type contractions
zbMATH Open document ID: 1447.54034
author: Y. Aharonov
published in: Mathematics
publication date: 2018-08-13T00:00:00Z
review text: Summary: 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 [\textit{V. Pata}, J. Fixed Point Theory Appl. 10, No. 2, 299--305 (2011; Zbl 1264.54065)].
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6916899
zbMATH Keywords: Zamfirescu mapping
zbMATH Keywords: Pata mapping
zbMATH Keywords: fixed point
zbMATH Keywords: proximity point
MaRDI profile type: Publication
full work available at URL: math6020025
OpenAlex ID: W2790536266
cites work: Fixed point theorems in metric spaces
cites work: Q5182846
cites work: Q5610908
cites work: A Comparison of Various Definitions of Contractive Mappings
cites work: A fixed point theorem in metric spaces
cites work: On a Fixed Point Theorem for a Cyclical Kannan-type Mapping
cites work: Fixed point theorems under Pata-type conditions in metric spaces
DOI: 10.3390/MATH6020025
description: scientific article; zbMATH DE number 6916899