Common fixed point results for three pairs of self-maps satisfying new contractive condition

Zhongzhi Yang
2014 Journal of Inequalities and Applications  
In this paper, we introduce a new twice power type contractive condition for six self-mappings in generalized metric spaces. Using the weakly commuting and weakly compatible conditions of self-mapping pairs, the existence and uniqueness of common fixed point in complete generalized metric spaces is discussed, and a new common fixed point theorem is obtained. We also provide illustrative examples in support of our new results. Our results generalize some well-known comparable results in the
more » ... results in the literature due to Ye and Gu. MSC: 47H10; 54H25; 54E50
doi:10.1186/1029-242x-2014-366 fatcat:cddszj75nfg4zcfxalaadtmi2i