Tripled coincidence point under ϕ-contractions in ordered $G_b$-metric spaces

Subject Areas : Fixed point theory

R.  Jalal Shahkoohi ¹ (Department of Mathematics and Statistics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran)
S. A.  Kazemipour ² (Department of Mathematics and Statistics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran)
A.  Rajabi Eyvali ³ (Department of Mathematics and Statistics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran)

Received: 2014-07-27 Accepted : 2014-12-16 Published : 2014-12-20

Keywords: Tripled xed point, Generalized weakly contraction, Generalized metric spaces, Partially ordered set,

Abstract :

In this paper, tripled coincidence points of mappings satisfying $\psi$-contractiveconditions in the framework of partially ordered $G_b$-metric spaces are obtained. Our resultsextend the results of Aydi et al. [H. Aydi, E. Karapinar and W. Shatanawi, Tripled fixedpoint results in generalized metric space, J. Applied Math., Volume 2012, Article ID 314279,10 pages]. Moreover, some examples of the main result are given.

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