doiSerbia

Some new results on (s,q)-Dass-Gupta-Jaggi type contractive mappings in b-metric-like spaces

Fabiano Nicola (Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam), nicola.fabiano@tdtu.edu.vn
Došenović Tatjana (Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam), tatjanad@uns.ac.rs
Rakić Dušan (Faculty of Technology, University of Novi Sad, Novi Sad, Serbia), dusan.rakic@uns.ac.rs
Radenović Stojan (Faculty of Mechanical Engineering, University of Belgrade, Beograd, Serbia), radens@beotel.net, sradenovic@mas.bg.ac.rs

In this paper we consider cyclic (s-q)-Dass-Gupta-Jaggi type contractive mapping in b-metric like spaces. By using our new approach for the proof that one Picard’s sequence is Cauchy in the context of b-metric-like space, our results generalize, improve and complement several results in the existing literature. Moreover, we showed that the cyclic type results of Kirk et al. are equivalent with the corresponding usual fixed point ones for Dass-Gupta-Jaggi type contractive mappings. Finally, some examples are presented here to illustrate the usability of the obtained theoretical results.

Keywords: Cyclic ηqs-rational contractive mapping, ηqs-rational contractive mapping, fixed point technique, metric-like space, b-metric-like space