Tusi Mathematical Research Group (TMRG)Advances in Operator Theory2538-225X1120161201Fixed points of contractions and cyclic contractions on $C^{*}$-algebra-valued $b$-metric spaces921033895310.22034/aot.1610.1030ENZoran KadelburgAntonella NastasiDepartment of Mathematics and Computer Science,
University of PalermoStojan RadenovicFaculty of Mechanical Engineering, University of BelgradePasquale VetroDepartment of Mathematics and Computer Science,
University of PalermoJournal Article20161013In this paper, we discuss and improve some recent results about<br />contractive and cyclic mappings established in the framework of<br />$C^{*}$-algebra-valued $b$-metric spaces. Our proofs are much<br />shorter than the ones in existing literature. Also, we give two<br />examples that support our approach.http://www.aot-math.org/article_38953_c05393d482953043bf82592dbe9115d3.pdf