Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 1, Number 2 (2010), 46-56 .
Coupled fixed point, $F$-invariant set and fixed point of $N$-order
In this paper, we establish some new coupled fixed point theorems in complete metric spaces, using a new concept of $F$-invariant set. We introduce the notion of fixed point of $N$-order as natural extension of that of coupled fixed point. As applications, we discuss and adapt the presented results to the setting of partially ordered cone metric spaces. The presented results extend and complement some known existence results from the literature.
Ann. Funct. Anal., Volume 1, Number 2 (2010), 46-56 .
First available in Project Euclid: 12 May 2014
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 54H25: Fixed-point and coincidence theorems [See also 47H10, 55M20]
Secondary: 47H10 34B15
Samet, Bessem; Vetro, Calogero. Coupled fixed point, $F$-invariant set and fixed point of $N$-order. Ann. Funct. Anal. 1 (2010), no. 2, 46--56. doi:10.15352/afa/1399900586. https://projecteuclid.org/euclid.afa/1399900586