CONE METRIC TYPE SPACE AND NEW COUPLED FIXED POINT THEOREMS

Authors

  • H. Rahimi Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P. O. Box 13185/768, Tehran, Iran
  • S. Radenovic Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia
  • G. S. Rad Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P. O. Box 13185/768, Tehran, Iran

Keywords:

Cone metric type space, Coupled fixed point, Cone metric space

Abstract

The notion of coupled fixed point was initiated in 2006 by Bhaskar and Lakshmikantham. On the other hand, Radenovi\'{c} and Kadelburg [S. Radenovi\'{c}, Z. Kadelburg, Quasi-contractions on symmetric and cone symmetric spaces, Banach J. Math. Anal. 5 (1) (2011) 38-50] defined cone metric type space and proved several fixed point theorems. In this paper we introduce the concept of a coupled fixed point for a contractive condition in cone metric type space and prove some coupled fixed point theorems.

Author Biographies

H. Rahimi, Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P. O. Box 13185/768, Tehran, Iran

Professor

Director-in-Chief of JLTA (jlta.iauctb.ac.ir)
Vice Chancellor for Research
Central Tehran Branch, Islamic Azad University
Tehran . Iran

S. Radenovic, Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia

Professor

Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia

G. S. Rad, Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P. O. Box 13185/768, Tehran, Iran

Phd

Department of Mathematics, Faculty of Sciences, Central Tehran Branch, Islamic Azad University. Tehran, Iran

Additional Files

Published

05/13/2015

How to Cite

Rahimi, H., Radenovic, S., & Rad, G. S. (2015). CONE METRIC TYPE SPACE AND NEW COUPLED FIXED POINT THEOREMS. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 6(1), 1–9. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2764

Issue

Vol. 6 No. 1 (2015): JNAO

Section

Research Articles

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Creative Commons License

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