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COMMON FIXED POINTS OF TWO PAIRS OF GENERALIZED WEAKLY CONTRACTIVE MAPS
G. V. R. BABU,K. NAGESWARA RAO,G. N. ALEMAYEHU 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.4
We define generalized weakly contractive condition for two pairs of selfmaps and prove the existence of common fixed points of these maps under the assumptions that these two pairs of maps are weakly compatible in a complete metric space. The same is extended to a sequence of selfmaps. Also, we prove the same for four such selfmaps in which one pair is compatible, reciprocal continuous and the other one is weakly compatible.
G. V. R. BABU,G. N. ALEMAYEHU 장전수학회 2011 Proceedings of the Jangjeon mathematical society Vol.14 No.1
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].