C-class Functions and Common Fixed Point Theorems Satisfying φ-weakly Contractive Conditions

In this paper, we discuss and extend some recent common xed point results established by using φ-weakly contractive mappings. A very important step in the development of the xed point theory was given by A.H. Ansari by the introduction of a C􀀀class function. Using C-class functions, we generalize some known xed point results. This type of functions is a very impor- tant class of functions which contains almost all known type contraction starting from 1922. year, respectively from famous Banach contraction principle. Three common xed point theorems for four mappings are presented. The obtained results generalizes several existing ones in literature.We nally propose three open problems.