Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators

Abstract

The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated by the initial problems.

Keywords

• Metric space
• Single-valued operator
• Multi-valued operator
• Fixed point
• Coupled fixed point
• Best proximity point