Approximate fixed point theorems for Geraghty-contractions

Subject Areas : Applied Mathematics

ُS. A. M Mohsenalhoseini ¹ , H Mazaheri ²

1 - Valie-Asr University
2 - Islamic Azad University of Yazd

Received: 2015-04-22 Accepted : 2016-06-25 Published : 2016-12-01

Keywords: Approximate fixed point, Approximate-pair fixed point, Geraghty-contraction, Approximate-pair fixed point,

Abstract :

The purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fixed point on Geraghty-contraction. In this paper,denitions of approximate -pair fixed point for two maps Tα, Sα and theirdiameters are given in a metric space.

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