Fixed points of generalized $TAC$-contractive mappings in $b$-metric spaces

G. V. R. Babu; T. M. Dula

Authors

G. V. R. Babu Department of Mathematics, Andhra University, Visakhapatnam-530 003, India Author
T. M. Dula Department of Mathematics, Wollega University, Nekemte-395, Ethiopia Author

Keywords:

b

-metric space, cyclic

(α, β)

-admissible mapping, generalized

T A C

-contractive mapping, fixed point

Subjects:

47H10, 54H25

Abstract

We introduce generalized $T A C$ -contractivemappings in $b$ -metric spaces and we prove some new fixed pointresults for this class of mappings. We provide examples in supportof our results. Our results extend the results of [S. Chandok, K.Tas and A. H. Ansari, Some fixed point results for $T A C$ -typecontractive mappings, J. Function Spaces, Vol. 2016, Article ID1907676, 6 pages] from the metric space setting to $b$ -metricspaces and generalize a result of [D. Djorić, Common fixedpoint for generalized $(ψ, φ)$ -weak contractions, Appl.Math. Lett. 22 (2009) 1896–1900].

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

Authors

Keywords:

Subjects:

Abstract

Downloads

Published

Issue

Section

License

Fixed points of generalized TAC-contractive mappings in b-metric spaces

Authors

Keywords:

Subjects:

Abstract

Downloads

Published

Issue

Section

License

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