Global attractivity results in partially ordered complete metric spaces
Date of Original Version
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.
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