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Abstract
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Article Information:
Fixed Point Theorems via Absorbing Maps
Deepak Singh, Mayank Sharma and Ramakant Sharma
Corresponding Author: Deepak Singh
Submitted: February 09, 2012
Accepted: March 10, 2012
Published: July 15, 2012 |
Abstract:
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In this study we obtain fixed point theorems via absorbing maps. Moreover we also demonstrate the
necessity of absorbing maps to find a common fixed point in fuzzy metric spaces. Our result generalizes many
known results and explores the possibility of applying the notion of reciprocal continuity and absorbing maps
to the problem of finding common fixed points of four mappings or sequence of mappings satisfying contractive
type conditions containing rational terms in fuzzy metric spaces. To support our main result an example is also
given which is the corrected version of the example 5 given in Mishra et al. (2008).
Key words: Absorbing maps, common fixed point, compatible maps, continuous t-norm, fuzzy metric space, reciprocal continuity 2000, mathematics subject classification: 54H25, 47H10
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Cite this Reference:
Deepak Singh, Mayank Sharma and Ramakant Sharma, . Fixed Point Theorems via Absorbing Maps. Research Journal of Applied Sciences, Engineering and Technology, (14): 2134-2139.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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