IJPAM: Volume 115, No. 2 (2017)

Title

FIXED POINTS OF CHATTERJEE AND
CIRIC CONTRACTIONS ON AN $S$-METRIC SPACE

Authors

T. Phaneendra$^1$, K. Kumara Swamy$^2$
$^1$Department of Mathematics
School of Advanced Sciences,
VIT University
Vellore, 632014, Tamil Nadu, INDIA
$^2$Department of Mathematics
Hyderabad Institute of Technology & Management
Medchal District, Hyderabad, Telangana State, INDIA

Abstract

Unique fixed points are obtained for Chatterjee and Ciric contractions on an $S$-metric space, which are then shown to be $S$-contractive fixed points.

History

Received: February 23, 2017
Revised: May 23, 2017
Published: July 14, 2017

AMS Classification, Key Words

AMS Subject Classification: 54H25
Key Words and Phrases: $S$-metric space, $S$-Cauchy sequence, Fixed point, $S$-contractive fixed point

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Bibliography

1
Z. Mustafa, B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Anal., 7, No. 2 (2006), 289-297.

2
T. Phaneendra, K. Kumara Swamy, Unique fixed point in $G$-metric space through greatest lower bound properties, NoviSad J. Math., 43 (2013), 107-115.

3
T. Phaneendra, S. Saravanan, On some misconceptions and chatterjee-type $G$-contraction, Int. J. Pure Appl. Math., 109, No. 4, 789-797.

4
T. Phaneendra, S. Saravanan, On G-contractive fixed points, Jnanabha, 46, 105-112.

5
T. Phaneendra, S. Saravanan, Bounded orbits and G-contractive fixed points, Comm. Appl. Anal., 20, 441-457.

6
S. Saravanan, T. Phaneendra, Fixed point as a $G$-contractive fixed point, Int. J. Appl. Engg. Res., 11, No. 1 (2016), 316-319.

7
Shaban Sedghi, Nabi Shobe, Abdelkrim Aliouche, A generalization of fixed point theorems in S-metric spaces, Matematiqki Vesnik, 64, No. 3 (2012), 258-266.

How to Cite?

DOI: 10.12732/ijpam.v115i2.13 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: 2017
Volume: 115
Issue: 2
Pages: 361 - 367


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