Open AccessSome new results on (s,q)-Dass-Gupta-Jaggi type contractive mappings in b-metric-like spaces
Author(s) -
Nicola Fabiano,
Tatjana Došenović,
Dušan Rakić,
Stojan Radenović
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2012015f
Subject(s) - mathematics , cauchy sequence , metric space , type (biology) , complement (music) , metric (unit) , complete metric space , context (archaeology) , discrete mathematics , pure mathematics , cauchy distribution , mathematical analysis , ecology , paleontology , biochemistry , chemistry , operations management , complementation , gene , economics , biology , phenotype
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.