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Coupled fixed point, F-invariant set and fixed point of N-order
Calogero VetroBessem Sametsubject
Discrete mathematicsCoupled fixed point F-invariant set fixed point of N-order partially ordered set cone metric spaceControl and OptimizationAlgebra and Number Theory47H10Fixed-point theoremFixed pointFixed-point propertyCoupled fixed pointpartially ordered setLeast fixed point$F$-invariant set54H25Schauder fixed point theoremFixed-point iterationSettore MAT/05 - Analisi Matematica34B15cone metric spacefixed point of $N$-orderKakutani fixed-point theoremAnalysisHyperbolic equilibrium pointMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 |