We study a class of mixed monotone operators with convexity and concavity. In particular, we give conditions, both necessary and sufficient, for the existence and uniqueness of fixed points. Moreover, we sketch a simple application of our main theorem and generalize some previous results.
Cite this article
Zhandong Liang, Lingling Zhang, Shengjia Li, Fixed Point Theorems for a Class of Mixed Monotone Operators. Z. Anal. Anwend. 22 (2003), no. 3, pp. 529–542DOI 10.4171/ZAA/1160