Fixed points of generalized T A C -contractive mappings in b -metric spaces

摘要

We introduce generalized T A C -contractive mappings in b -metric spaces and we prove some new fixed point results for this class of mappings. We provide examples in support of our results. Our results extend the results of [S. Chandok, K. Tas and A. H. Ansari, Some fixed point results for T A C -type contractive mappings, J. Function Spaces, Vol. 2016, Article ID 1907676, 6 pages] from the metric space setting to b -metric spaces and generalize a result of [D. Djori?, Common fixed point for generalized ( ψ , φ ) -weak contractions, Appl. Math. Lett. 22 (2009) 1896–1900].