We obtain some fixed point theorems for two pairs of hybrid mappings using hybrid tangential property and quadratic type contractive condition. Our results generalize some results by Babu and Alemayehu and those contained therein. In the sequel, we introduce a new notion to generalize occasionally weak compatibility. Moreover, two concrete examples are… (More)
We prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings. Moreover, we establish the existence theorem and convergence theorems for modified Ishikawa iterative process in the framework of CAT(0) spaces. Our results… (More)
The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham (2006) in . In this manuscript, some results of Lakshmikantham and Ćirić (2009) in  are extended to the class of cone metric spaces.
In this paper, we introduce some new types of pairs of mappings (f , g) on G-metric spaces called G-weakly commuting of type G f and G–R-weakly commuting of type G f. We obtain also several common fixed point results by using the (E.A) property.