Global attractivity results in partially ordered complete metric spaces

Authors

A. Brett, University of Rhode Island
M. R.S. Kulenović, University of Rhode Island
S. Kalabušić, University of Rhode Island

Document Type

Article

Date of Original Version

12-1-2011

Abstract

We prove fixed point theorems for monotone mappings in partially ordered complete metric spaces which satisfy a weaker contraction condition for all points that are related by a given ordering. We also give a global attractivity result for all solutions of the difference equation z n+1 = F(z n; z n-1); n = 2;3... where F satisfies certain monotonicity conditions with respect to the given ordering. © CSP - Cambridge, UK; I&S - Florida, USA, 2011.

Publication Title, e.g., Journal

Nonlinear Studies

Volume

18

Issue

2

Citation/Publisher Attribution

Brett, A., M. R. Kulenović, and S. Kalabušić. "Global attractivity results in partially ordered complete metric spaces." Nonlinear Studies 18, 2 (2011): 141-154. https://digitalcommons.uri.edu/math_facpubs/175