Contractive definitions and discontinuity at fixed point

Ravindra K. Bisht

India

National Defence Academy

Department of Mathematics

R. P. Pant

India

Kumaun University Nainital

Department of Mathematics

Submitted: 2016-10-11

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Accepted: 2017-01-09

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Published: 2017-04-03

DOI: https://doi.org/10.4995/agt.2017.6713
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Keywords:

Fixed point, $(\epsilon-\delta)$contractions, power contraction, orbital continuity

Supporting agencies:

This research was not funded

Abstract:

In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point that do not force the mapping to be continuous at the fixed point. Finally, we obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.

 

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References:

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