IJPAM: Volume 106, No. 2 (2016)
CONTRACTIVE TYPE MAPPINGS IN -SPACE
Department of Mathematics
P.R. Yanji, 133000, P.R. CHINA
Abstract. In this paper we introduce a new notion, named as -space, which is weak than -metric space and -metric space. Then several families of generalized contractive type mappings are defined on the -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: -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
Pages: 551 - 563
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