Scrutiny of some fixed point results by $S$-operators without triangular inequality

Year, pages: 2020, 467 - 476

In this work, the discussion centers on introducing non-triangular metric as a generalization of $JS$-metric, which may lessen the frantic pace of working on generalizing the triangle inequality by omitting it from the original ordinary metric's definition. Then, we present $S$-operators as a new sort of mappings included some properties in order to characterize some known contractions. After that, we graft non-triangular metric onto $S$-operators in order to make the worthwhile fixed point results facile to prove and conceive.

Khojasteh, F., Khandani, H. 2020. Scrutiny of some fixed point results by $S$-operators without triangular inequality. In Mathematica Slovaca, vol. 70, no.2, pp. 467-476. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0364

Khojasteh, F., Khandani, H. (2020). Scrutiny of some fixed point results by $S$-operators without triangular inequality. Mathematica Slovaca, 70(2), 467-476. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0364

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava