Content area
Abstract
Rectangular cone b-metric spaces over a Banach algebra are introduced as a generalization of metric space and many of its generalizations. Some fixed point theorems are proved in this space and proper examples are provided to establish the validity and superiority of our results. An application to solution of linear equations is given which illustrates the proper application of the results in spaces over Banach algebra.
Details
Title
Rectangular cone b-metric spaces over Banach algebra and contraction principle
Author
George, Reny 1 ; Nabwey, Hossam A 2 ; Rajagopalan, R 3 ; Radenovic, Stojan 4 ; Reshma, Kp 5
1 Department of Mathematics, College of Science, Prince Sattam bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia; Department of Mathematics and Computer Science, St. Thomas College, Bhilai, Chhattisgarh, India
2 Department of Mathematics, College of Science, Prince Sattam bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia; Department of Basic Engineering Sciences, Faculty of Engineering, Menofia University, Menofia, Egypt
3 Department of Mathematics, College of Science, Prince Sattam bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia
4 Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
5 Department of Mathematics, Rungta College of Engineering and Technology, Bhilai, Chhattisgarh, India
1 Department of Mathematics, College of Science, Prince Sattam bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia; Department of Mathematics and Computer Science, St. Thomas College, Bhilai, Chhattisgarh, India
2 Department of Mathematics, College of Science, Prince Sattam bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia; Department of Basic Engineering Sciences, Faculty of Engineering, Menofia University, Menofia, Egypt
3 Department of Mathematics, College of Science, Prince Sattam bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia
4 Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
5 Department of Mathematics, Rungta College of Engineering and Technology, Bhilai, Chhattisgarh, India
Pages
1-15
Section
Fixed Point Theory: Theory, Computation and Applications
Publication year
2017
Publication date
Sep 2017
ISSN
16871820
e-ISSN
16871812
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1934227668
Copyright
Fixed Point Theory and Applications is a copyright of Springer, 2017.