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Common Fixed Point Theorems Using the E.A. and CLR Properties in 2-Menger Spaces
Author(s) -
Balbir Singh,
Vishal Gupta,
Sanjay Kumar
Publication year - 2013
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2013/934738
Subject(s) - mathematics , fixed point theorem , fixed point property , norm (philosophy) , property (philosophy) , fixed point , discrete mathematics , type (biology) , schauder fixed point theorem , pure mathematics , kakutani fixed point theorem , brouwer fixed point theorem , mathematical analysis , ecology , philosophy , epistemology , political science , law , biology
First, we prove a common fixed point theorem using weakly compatible maps in 2-Menger space with t-norm of Hadzic type. Second, we prove a common fixed point theorem using the E.A. property along with weakly compatible maps. Further, we obtained a common fixed point theorem using the CLR property along with weakly compatible maps. At the end, we provide an application of our main theorem for four finite families of mappings

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