MATEMATIČKI VESNIK Vol. 69, No. 2, pp. 75–88 (2017) 

Fixed points of generalized $TAC$contractive mappings in $b$metric spacesG. V. R. Babu and T. M. DulaG.V.R.B.: Department of Mathematics, Andhra University, Visakhapatnam530 003, India. Email: gvr_babu@hotmail.com and T.M.D.: Present address: Department of Mathematics, Andhra University, Visakhapatnam530 003, India. Permanent address: Department of Mathematics, Wollega University, Nekemte395, Ethiopia. Email: dulamosissa@gmail.comAbstract: We introduce generalized $TAC$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 $TAC$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. Djorić, Common fixed point for generalized $(\psi ,\phi )$weak contractions, Appl. Math. Lett. 22 (2009) 1896–1900]. Keywords: $b$metric space; cyclic $(\alpha ,\beta )$admissible mapping; generalized $TAC$contractive mapping; fixed point. Classification (MSC2000): 47H10; 54H25 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 24 Feb 2017. This page was last modified: 17 Mar 2017.
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