<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this article, inspired by the concepts of extended <italic>b</italic>-metric spaces, we introduce the notion of complex valued extended <italic>b</italic>-metric spaces. Using this new idea, some fixed point theorems involving rational contractive inequalities are proved. The established results herein augment several significant work in the comparable literature.</p></abstract>

In this article, inspired by the concepts of extended b-metric spaces, we introduce the notion of complex valued extended b-metric spaces. Using this new idea, some fixed point theorems involving rational contractive inequalities are proved. The established results herein augment several significant work in the comparable literature.

Fixed Point Theorems in Complex Valued Extended <italic>b</italic>-Metric Spaces

Department of Mathematics, Faculty of Physical Sciences

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Fixed Point Theorems in Complex Valued Extended -Metric Spaces

In this article, inspired by the concepts of extended b-metric spaces, we introduce the notion of complex valued extended b-metric spaces. Using this new idea,...

Fixed Point Theorems in Complex Valued Extended b-Metric Spaces

Published Online: Jan 24, 2020

Page range: 140 - 163

Received: Jul 25, 2019

Accepted: Oct 18, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0011

Keywords
Extended -metric space, Multi-valued mapping, Fixed point, Complex valued metric space

© 2019 Naimat Ullah et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Fixed Point Theorems in Complex Valued Extended b-Metric Spaces

Published Online: Jan 24, 2020

Page range: 140 - 163

Received: Jul 25, 2019

Accepted: Oct 18, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0011

KeywordsExtended -metric space, Multi-valued mapping, Fixed point, Complex valued metric space

© 2019 Naimat Ullah et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Extended -metric space, Multi-valued mapping, Fixed point, Complex valued metric space