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Common fixed point theorems for compatible maps of type (P) and kind of weakly commuting maps

Khan M. S., Samanipour M., Murthy P. P.

Fasciculi Mathematici

2010

Nr 43

53-67

In this article, the existence of a unique common fixed point of two families of compatible maps of type (P) on a complete metric space and a common fixed point theorem for four mappings on a metric space are proved. These theorems are an improvement over the theorems generalizes Banach Fixed Point Theorems [1], Kannan Fixed Point Theorem [12], Edelstein Fixed Point Theorem [6], Boyd and Wong's Fixed Point Theorem [2], Ćirić's Fixed Point Theorems [3], Das and Naik's [5].