Fixed Point Theorems in Complex Valued Extended b-Metric Spaces-Reference-Cited by-同舟云学术

Fixed Point Theorems in Complex Valued Extended b-Metric Spaces

Published:2019-12-01 Issue:2 Volume:5 Page:140-163
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Ullah Naimat¹,Shagari Mohammed Shehu²,Azam Akbar¹

Affiliation:

1. Department of Mathematics , COMSATS University , Chak Shahzad, Islamabad , 44000 , Pakistan .

2. Department of Mathematics, Faculty of Physical Sciences , Ahmadu Bello University , Nigeria .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2019-0011

Reference26 articles.

1. [1] J. Ahmad, C. Klin-Eam, and A. Azam, (2013). Common fixed points for multivalued mappings in complex valued metric spaces with applications. In Abstract and Applied Analysis (Vol. 2013). Hindawi.10.1155/2013/854965

2. [2] J. Ahmad, N. Hussain, A. Azam and M. Arshad (2015). Common fixed point results in complex valued metric with application to system of integral equations. Journal of Nonlinear and Convex Analysis, 29(5), 855-871.

3. [3] M. Aiman (2014). Some common fixed point theorems in complex valued b-metric spaces. The Scientific World Journal, 2014.

4. [4] S. Aleksić, Z. Kadelburg, Z. D. Mitrovic and S. Radenovic (2019). A new survey: Cone metric spaces, Journal of the International Mathematical Virtual Institute, Vol.9, 93-121.

5. [5] A. Azam, B. Fisher and M. Khan (2011). Common fixed point theorems in complex valued metric spaces. Numerical Functional Analysis and Optimization, 32(3), 243-25.10.1080/01630563.2011.533046

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications;Mathematics;2024-06-06

2. Application of Fixed Point Result in Complex Valued Extended b-Metric Space;Mathematics;2023-12-05

3. Solving System of Linear Equations Using Common Fixed Point Theorems in Bicomplex Valued Metric Spaces;Mathematics;2023-10-18

4. Solving the Fredholm Integral Equation by Common Fixed Point Results in Bicomplex Valued Metric Spaces;Mathematics;2023-07-24

5. Fixed Point Theorems in Complex-Valued Double Controlled Metric Like Spaces;Topology - Recent Advances and Applications [Working Title];2023-03-31