On Some Common Approximate Fixed Point Theorems

Roy, Kushal; Saha, Mantu

doi:10.2478/gm-2019-0012

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On Some Common Approximate Fixed Point Theorems

General Mathematics

Volume 27 (2019): Issue 2 (December 2019)

By: Kushal Roy and Mantu Saha

Open Access

|Mar 2020

Abstract

In the present paper we establish some theorems on the existence of common approximate fixed points for a pair of generalized contractive type mappings with the property that the diameter of the set of common ∈−fixed points is tending to zero as ∈ tends to zero.

References

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DOI: https://doi.org/10.2478/gm-2019-0012 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 23 - 34

Submitted on: Jun 8, 2018

Accepted on: Nov 6, 2019

Published on: Mar 20, 2020

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

generalized contractive mapping,

approximate fixed point,

common approximate fixed point,

common approximate fixed point property

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2020 Kushal Roy, Mantu Saha, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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