IJPAM: Volume 106, No. 2 (2016)

UNIQUE COMMON FIXED POINTS FOR GENERALIZED
CONTRACTIVE TYPE MAPPINGS IN $D_1$-SPACE

Yamin Wang$^1$, Linan Zhong$^2$
$^{1,2}$Department of Mathematics
Yanbian University
P.R. Yanji, 133000, P.R. CHINA
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Abstract. In this paper we introduce a new notion, named as $D_1$-space, which is weak than $D$-metric space and $G$-metric space. Then several families of generalized contractive type mappings are defined on the $D_1$-space. We then obtain some theorems on the existence of unique common fixed points for these mappings which additionally satisfy the converse commuting condition.

Received: Ocotber 28, 2015

AMS Subject Classification: 54H25, 47H10

Key Words and Phrases: $D_1$-space, fixed point, converse commuting self-maps

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DOI: 10.12732/ijpam.v106i2.18 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: 106
Issue: 2
Pages: 551 - 563


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