JournalszaaVol. 22, No. 3pp. 529–542

Fixed Point Theorems for a Class of Mixed Monotone Operators

  • Zhandong Liang

    ShanXi University, Taiyuan, China
  • Lingling Zhang

    Taiyuan University of Technology, China
  • Shengjia Li

    ShanXi University, Taiyuan, China
Fixed Point Theorems for a Class of Mixed Monotone Operators cover
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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