COMMON FIXED POINT THEOREM IN CONE
METRIC SPACE UNDER CONTRACTIVE MAPPINGS
Raghvendra S. Chandel1, Abbas Hassan2, Rina Tiwari3 1Department of Mathematics
Govt. Geetanjali Girls College
Bhopal (M.P.), INDIA 2Department of Mathematics
Saifia Science College
Bhopal (M.P.), INDIA 3Department of Mathematics
IES, IPS Academy
Indore (M.P.), INDIA
Abstract. In this paper we prove a common fixed point theorem for two Banach pairs of mappings which satisfy the contraction conditions in cone metric spaces without the assumption of normality condition.
AMS Subject Classification: 42H10, 54H25
Key Words and Phrases: fixed point, cone metric space, contraction mapping
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DOI: 10.12732/ijam.v29i3.1
Volume: 29
Issue: 3
Year: 2016