Kadelburg, Z., Nastasi, A., Radenovic, S., Vetro, P. (2016). Fixed points of contractions and cyclic contractions on $C^{*}$-algebra-valued $b$-metric spaces. Advances in Operator Theory, 1(1), 92-103. doi: 10.22034/aot.1610.1030
Zoran Kadelburg; Antonella Nastasi; Stojan Radenovic; Pasquale Vetro. "Fixed points of contractions and cyclic contractions on $C^{*}$-algebra-valued $b$-metric spaces". Advances in Operator Theory, 1, 1, 2016, 92-103. doi: 10.22034/aot.1610.1030
Kadelburg, Z., Nastasi, A., Radenovic, S., Vetro, P. (2016). 'Fixed points of contractions and cyclic contractions on $C^{*}$-algebra-valued $b$-metric spaces', Advances in Operator Theory, 1(1), pp. 92-103. doi: 10.22034/aot.1610.1030
Kadelburg, Z., Nastasi, A., Radenovic, S., Vetro, P. Fixed points of contractions and cyclic contractions on $C^{*}$-algebra-valued $b$-metric spaces. Advances in Operator Theory, 2016; 1(1): 92-103. doi: 10.22034/aot.1610.1030
Fixed points of contractions and cyclic contractions on $C^{*}$-algebra-valued $b$-metric spaces
1Department of Mathematics and Computer Science, University of Palermo
2Faculty of Mechanical Engineering, University of Belgrade
Abstract
In this paper, we discuss and improve some recent results about contractive and cyclic mappings established in the framework of $C^{*}$-algebra-valued $b$-metric spaces. Our proofs are much shorter than the ones in existing literature. Also, we give two examples that support our approach.