Aleksa Malčeski

New Extension of Kannan and Chatterjea Fixed Point Theorems on Complete Metric Spaces

Aleksa Malčeski, Samoil Malčeski, Katerina Anevska & Risto Malčeski · Journal of Advances in Mathematics and Computer Science · 2016

The theory of fixed point is applied in many fields of mathematics as well as in other studies. That is the main reason for producing new results, as well as for generalizing already known theorems about fixed point. This paper considers several generalizations of R. Kannan [1] a...

Open access Research Article 10.9734/BJMCS/2016/25864

Common Fixed Points of Kannan and Chatterjea Types of Mappings in a Complete Metric Space

Risto Malčeski, Aleksa Malčeski, Katerina Anevska & Samoil Malčeski · Journal of Advances in Mathematics and Computer Science · 2016

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...

Open access Research Article 10.9734/BJMCS/2016/27906

Some Inequalities in Quasi 2-normed Space Lp (μ), 0

Risto Malčeski, Vesna Manova-Erakovic & Aleksa Malčeski · Journal of Advances in Mathematics and Computer Science · 2016

In [1], C. Park generalized the notion of the quasi-normed space, i.e. he introduced the notion of the quasi 2-normed space. He proved several properties of the quasi 2-norm. In [2], M. Kir and M. Acikgoz gave the procedure of completing the quasi 2-normed space. Several inequali...

Open access Research Article 10.9734/BJMCS/2016/22885