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On some recent fixed point results for single and multi-valued mappings in b-metric spaces

Aleksić S., Mitrović Z. D., Radenović S.

Fasciculi Mathematici

2018

Nr 61

5--16

The main purpose of this paper is to improve and correct some results in b-metric spaces. Moreover, we prove that some results can be slightly relaxed and also we explore some proof techniques which provide short proofs of the results.

An alternative and easy approach to fixed point results via simulation functions

Radenović S., Vetro F., Vujaković J.

Demonstratio Mathematica

2017

Vol. 50, nr 1

223--230

We discuss, extend, improve and enrich results on simulation functions established by several authors. Furthermore, by using Lemma 2.1 of Radenović et al. [Bull. Iran. Math. Soc., 2012, 38, 625], we get much shorter and nicer proofs than the corresponding ones in the existing literature.