Coupled fixed point, $F$-invariant set and fixed point of $N$-order
Copyright policy )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.
- University of Palermo Italy
partially ordered set, Coupled fixed point, F-invariant set, fixed point of N-order, partially ordered set, cone metric space, $F$-invariant set, 54H25, 34B15, cone metric space, 47H10, fixed point of $N$-order, Coupled fixed point
partially ordered set, Coupled fixed point, F-invariant set, fixed point of N-order, partially ordered set, cone metric space, $F$-invariant set, 54H25, 34B15, cone metric space, 47H10, fixed point of $N$-order, Coupled fixed point
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