Common fixed point theorems for hybrid pairs of mappings using implicit relations

Abstract

In this paper, we prove coincidence and fixed point theorems for two hybrid pairs of single valued and multivalued mappings on noncomplete metric spaces. We prove our results without using conditions of compatibility and continuity of mappings. We also give an example to validate our result.

Keywords

• Coincidence point
• implicit relation
• fixed point
• compatible maps
• property (E.A)
• (IT)-commuting maps
• T-weakly commuting maps