Fixed Point Theorems for a Class of Mixed Monotone Operators
Zhandong Liang
ShanXi University, Taiyuan, ChinaLingling Zhang
Taiyuan University of Technology, ChinaShengjia Li
ShanXi University, Taiyuan, China
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Abstract
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. 529–542
DOI 10.4171/ZAA/1160