Common Fixed Points of Kannan and Chatterjea Types of Mappings in a Complete Metric Space
Risto Malčeski *
Faculty of Informatics, FON University, Bul. Vojvodina bb, Skopje, Macedonia
Aleksa Malčeski
Faculty of Mechanical Engineering, Ss. Cyril and Methodius University, Skopje, Macedonia
Katerina Anevska
Faculty of Informatics, FON University, Bul. Vojvodina bb, Skopje, Macedonia
Samoil Malčeski
Centre for Research and Development of Education, Skopje, Macedonia
*Author to whom correspondence should be addressed.
Abstract
This paper contains several generalizations of the theorems for common fixed point of R. Kannan, S. K. Chatterjea and P. V. Koparde & B. B. Waghmode types of mappings. These generalizations are done by using a sequentially convergent mappings. Trough several examples, we have shown that the generalized claims are inapplicable, and that the obtained generalized claims prove the existence of a unique common fixed point of considered mappings.
Keywords: Common fixed point, complete metric space