Fixed points for Kannan type contractions in uniform spaces endowed with a graph

Aris Aghanians; Kourosh Nourouzi

doi:10.15388/NA.2016.1.7

Articles

Aris Aghanians

K. N. Toosi University of Technology, Iran

Kourosh Nourouzi

K. N. Toosi University of Technology, Iran

Published 2016-01-20

https://doi.org/10.15388/NA.2016.1.7

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Keywords

separated uniform space
Kannan G-p-contraction
fixed point

How to Cite

Aghanians, A. and Nourouzi, K. (2016) “Fixed points for Kannan type contractions in uniform spaces endowed with a graph”, Nonlinear Analysis: Modelling and Control, 21(1), pp. 103–113. doi:10.15388/NA.2016.1.7.

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Abstract

In this paper, we give two sufficient conditions for the existence of a fixed point for a Kannan type contraction in a p-complete separated uniform space endowed with a graph and equipped with an A- or an E-distance p. We also discuss the uniqueness of the fixed point and show that Banach and Kannan type contractions are independent.

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