5 papers · 1 filter
Best Proximity Point Results for Perimetric Contractions
Hiranmoy Garai, Evgeniy Petrov, Pratikshan Mondal +1
This paper has two aims, first one is to introduce special kind of proximal contractions guaranteeing a finite number of best proximity points, and second one is to derive best pro…
Fixed point results for single and multi-valued three-points contractions
Mohamed Jleli, Evgeniy Petrov, Bessem Samet
In this paper, we are concerned with the study of the existence of fixed points for single and multi-valued three-points contractions. Namely, we first introduce a new class of sin…
On generalizations of some fixed point theorems in semimetric spaces with triangle functions
Evgeniy Petrov, Ruslan Salimov, Ravindra K. Bisht
In the present paper, we prove generalizations of Banach, Kannan, Chatterjea, ÄiriÄ-Reich-Rus fixed point theorems, as well as of the fixed point theorem for mappings contracting…
The existence of continuations for different types of metrics
Evgeniy Petrov
The problems of continuation of a partially defined metric and a partially defined ultrametric were considered in (O. Dovgoshey, O. Martio and M. Vuorinen, Metrization of weighted…
Perimetric Contraction on Polygons and Related Fixed Point Theorems
Mi Zhou, Evgeniy Petrov
In the present paper, a new type of mappings called perimetric contractions on -polygons is introduced. These contractions can be viewed as a generalization of mappings that con…