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Commun. Korean Math. Soc. 2017; 32(1): 65-74
Online first article January 11, 2017 Printed January 31, 2017
https://doi.org/10.4134/CKMS.c160039
Copyright © The Korean Mathematical Society.
A common fixed point theorem for $T$-contractions on generalized cone \lowercase{b}-metric spaces
Manhala Rangamma and Pagidi Mallikarjun Reddy
Hyderabad-500 007, Hyderabad-500 007
In this paper, we establish a unique common fixed point theorem for $T$-contraction of two self maps on generalized cone b-metric spaces with solid cone. The result of this paper improves and generalizes several well-known results in the literature. Two examples are also given to support the result.
Keywords: cone rectangular metric space, generalized cone b-metric space, fixed point, common fixed point, $T$-contraction
MSC numbers: 54H25, 47H10
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