Common fixed points under strict conditions

In this contribution, three new concepts called reciprocally continuous, strictly subweakly compatible and strictly subreciprocally continuous single and multivalued mappings are given for obtention some common fixed point theorems in a metric space. Our results improve and complement the results of Aliouche and Popa, Azam and Beg, Deshpande and Pathak, Kaneko and Sessa, Popa and others.

• common fixed point theorems
• set-valued mappings
• single-valued mappings
• metric spaces
• weak compatibility

• Fixed Point Theorems Analysis
• Functional Equations Stability Results
• Approximation Theory and Sequence Spaces
• common fixed point theorems
• set-valued mappings
• single-valued mappings
• metric spaces
• weak compatibility
• Geometry and Topology
• Applied Mathematics
• Statistics and Probability
• Mathematics