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

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 $(\alpha, \beta)$-admissible mapping, generalized $TAC$-contractive mapping, fixed point

Subjects:

47H10, 54H25

Abstract

We introduce generalized $TAC$-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 $TAC$-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 $(\psi,\varphi)$-weak contractions, Appl.Math. Lett. 22 (2009) 1896–1900].

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Published

2017-04-15

Issue

Vol. 69 No. 2 (2017): Vol. 69, Issue 2

Section

Articles

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Copyright (c) 2017 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.