Quasi (<i>s</i>,<i>r</i>)-Contractive Multi-Valued Operators and Related Fixed Point Theorems

Abstract

This paper gives the new concepts of quasi ( s , r ) -contractive multi-valued operators and establishes some related fixed point results for such operators. In addition, an application to certain functional equations arising from dynamic programming is given to illustrate the usage of the obtained results.

Keywords

• complete metric space
• quasi (<i>s</i>,<i>r</i>)-contractive operator
• multi-valued operator
• fixed point theorem