Common Fixed Point Results in C ∗ -Algebra Valued b-Metric Spaces Via Digraphs
Abstract We discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings defined on a C∗-algebra valued b-metric space endowed with a graph. Our results extend and supplement several recent results in the literature. Strength of hypothes...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Chile |
| Institución: | Agencia Nacional de Investigación y Desarrollo |
| Repositorio: | SciELO Chile |
| OAI Identifier: | oai:scielo:S0719-06462018000100041 |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000100041 |
| Access Level: | acceso abierto |
| Palabra clave: | C∗-algebra C∗-algebra valued b-metric directed graph C∗-algebra valued G-contraction common fixed point. |
| Sumario: | Abstract We discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings defined on a C∗-algebra valued b-metric space endowed with a graph. Our results extend and supplement several recent results in the literature. Strength of hypotheses made in the first result have been weighted through illustrative examples. |
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