Existence of common ¯xed points for weakly biased maps satisfying weakly contractive condition involving rational expressions
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초록
We prove a common ¯xed point theorem for two pairs of selfmaps in a complete metric space in which one pair is compatible and reciprocally continuous and the other one is a pair of weakly biased maps, satisfying weakly contractive condition involving rational expressions. Also, it is proved that the same is true when `compatibile maps' is replaced by `compatible maps of type (A)'. These results partially generalize the results of Babu and Kameswari [3] and Jeong and Rhoades [5].
Abstract
We prove a common ¯xed point theorem for two pairs of selfmaps in a complete metric space in which one pair is compatible and reciprocally continuous and the other one is a pair of weakly biased maps, satisfying weakly contractive condition involving rational expressions. Also, it is proved that the same is true when `compatibile maps' is replaced by `compatible maps of type (A)'. These results partially generalize the results of Babu and Kameswari [3] and Jeong and Rhoades [5].
참고문헌 (16)
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