Generalized cone b-metric spaces and contraction principles

Authors

  • Reny George Department of Mathematics and Computer Science, St. Thomas College, Bhilai, Chhattisgarh, India Author
  • Hossam A. Nabwey Department of Engineering Basic Sciences, Faculty of Engineering, Menofia University, Menofia, Egypt Author
  • K. P. Reshma Department of Mathematics, Government VYT PG Autonomous College, Durg, Chhattisgarh, India Author
  • R. Rajagopalan Department of Mathematics, College of Science, Salman bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia Author

Keywords:

Fixed point, cone rectangular metric space, cone b-metric space

Subjects:

47H10, 54H25

Abstract

The concept of generalized cone b-metric space is introduced as a generalization of cone metric space, cone b-metric space and cone rectangularmetric space. An analogue of Banach contraction principle and Kannan's fixed point theorem is proved in this space. Our result generalizes many known results infixed point theory.

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Published

2015-10-15

Issue

Vol. 67 No. 4 (2015): Vol. 67, Issue 4

Section

Articles

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Copyright (c) 2015 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.