Common fixed points for weak commutative mappings on a multiplicative metric space

Abstract In this paper, we discuss the unique common fixed point of two pairs of weak commutative mappings on a complete multiplicative metric space. They satisfy the following inequality: d ( S x , T y ) ≤ { max { d ( A x , B y ) , d ( A x , S x ) , d ( B y , T y ) , d ( S x , B y ) , d ( A x , T y ) } } λ , where A and S are weak commutative, B and T also are weak commutative. Our results substantially generalize and extend the results of Özavsar and Cevikel (Fixed point of multiplicative contraction mappings on multiplicative metric space). MSC:46B20, 47A12.