Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces

Authors

Dž Burgić
S. Kalabušić
Mustafa R. Kulenović, University of Rhode IslandFollow

Document Type

Article

Date of Original Version

2009

Abstract

We prove fixed point theorems for mixed-monotone mappings in partially ordered complete metric spaces which satisfy a weaker contraction condition than the classical Banach contraction condition for all points that are related by given ordering. We also give a global attractivity result for all solutions of the difference equation Z_n+1 = F(zⁿ,z_n-1), n = 2, 3,…, where satisfies mixed-monotone conditions with respect to the given ordering.

Citation/Publisher Attribution

Burgić, D., Kalabušić, & Kulenović, M. R. S. (2009). Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces. Fixed Point Theory and Applications, 2009, Article ID: 762478. doi: 10.1155/2009/762478

Available at: https://doi.org/10.1155/2009/762478

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.