Fixed points of asymptotically regular mappings in complex-valued metric spaces

Mujahid Abbas; Muhammad Arshad; Akbar Azam

doi:10.1515/gmj-2013-0013

Published by De Gruyter May 15, 2013

Fixed points of asymptotically regular mappings in complex-valued metric spaces

Mujahid Abbas , Muhammad Arshad and Akbar Azam

From the journal Georgian Mathematical Journal

https://doi.org/10.1515/gmj-2013-0013

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Abstract.

In [Numer. Funct. Anal. Optim. 32 (2011), 243–253], Azam, Fisher, and Khan introduced a notion of complex-valued metric spaces and obtained common fixed point results for mappings satisfying rational inequalities. In the present paper, employing the concept of asymptotically regular mappings, the existence of a fixed point is obtained in a complex-valued metric space.

Keywords: Common fixed point; well-posedness; periodic point; complex-valued metric spaces

Received: 2012-04-01

Revised: 2012-06-21

Accepted: 2013-04-04

Published Online: 2013-05-15

Published in Print: 2013-05-01

Fixed points of asymptotically regular mappings in complex-valued metric spaces

Abstract.

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