IJPAM: Volume 108, No. 3 (2016)

SOME FIXED POINT RESULTS FOR T-WEAK
CONTRACTIONS IN GENERALIZED CONE b-METRIC SPACE

M. Rangamma$^1$, P. Mallikarjun Reddy$^2$
$^{1,2}$Department of Mathematics
University College of Science
Osmania University
Hyderabad, 500 007, Telangana, INDIA


Abstract. In this paper, we prove some fixed point theorems of T-weak contractions in generalized cone b-metric spaces established by R. George, et al. in [15], without assuming normality of cone. Our results improve and generalize many recent known results in cone metric, cone b-metric and cone rectangular metric spaces.

Received: February 8, 2016

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: cone rectangular metric space, generalized cone b-metric space, common fixed point, coincidence point, T-weak contractions, weakly compatible maps

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DOI: 10.12732/ijpam.v108i3.1 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 3
Pages: 483 - 494


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