Integral type Fixed point Theorems for $\alpha$-admissible MappingsSatisfying $\alpha$-$\psi$-$\phi$-Contractive Inequality


Ziad Badehian, Mohammad Sadegh Asgari




In this paper, we establishe some new fixed point theorems by $\alpha$-admissible mappings satisfying $\alpha$-$\psi$-$\phi$-contractive inequality of integral in complete metric spaces. Presented results can be considered as an extension of the theorems of Banach--Cacciopoli and Branciari.