Nonlinear quasicontractions in complete metric spaces

作者：Bessenyei Mihaly^*

来源：Expositiones Mathematicae, 2015, 33(4): 517-525.

DOI：10.1016/j.exmath.2015.03.001

• Banach Fixed Point Theorem
• Matkowski Fixed Point Theorem
• Ciric Fixed Point Theorem
• Iteration
• Contraction principle

Two essential extensions of the Banach Fixed Point Theorem are due to Lj.B. Ciric and J. Matkowski. The first author obtained fixed point result for linear quasicontractions, while the second one for nonlinear contractions. The aim of the present note is to give common view of these theorems in the spirit of a contraction principle due to M. Hegedus and T. Szilagyi.

• 出版日期2015