Coincidence and Common Fixed Points of Perov Type Generalized Ćirić-Contraction Mappings
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文摘
Recently Cvetković and Rakocević (Appl Math Comput 235:712-722, 2014) obtained some fixed point results of quasi-contraction of Perov type in the setup of cone metric spaces. We prove a coincidence and common fixed point results of two pairs of mappings satisfying generalized Cirić contractive condition in cone metric space without appealing to the normality condition of the cone and without exploiting the notion of continuity of any map involved therein. We also obtain common fixed point results of Hardy–Roger’s type mappings. We present some remarks and examples to show that our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature. It is worth mentioning that the main result in this paper could not be derived from Ćirić’s result by the scalarization method, and hence indeed improves many recent results in cone metric spaces.
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