IJPAM: Volume 102, No. 1 (2015)

SOME FIXED POINT THEOREMS OF
MULTI-VALUED MAPPINGS IN $G$-METRIC SPACE

M. Akram$^1$, Nosheen$^2$
$^1$Department of Mathematics and Statistics
College of Science
King Faisal University
Al-Ahsa, KINGDOM OF SAUDI ARABIA
$^1$Department of Mathematics
GC University
Lahore, PAKISTAN
$^2$Department of Mathematics
Jinnah College for Women
University of Peshawar
Peshawar, PAKISTAN


Abstract. In this paper, we prove some fixed point theorems concerning multi-valued mappings using $A^{*}$-type contraction in complete symmetric $G$-metric space.

Our results generalizes and improved many results in the existing literature.

Received: November 1, 2014

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: $G$-metric, $A^{*}$-type contraction, symmetric $G$-metric, weakly commuting mappings

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DOI: 10.12732/ijpam.v102i1.7 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: 2015
Volume: 102
Issue: 1
Pages: 73 - 83


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