Open AccessCommon Fixed Points, Invariant Approximation and Generalized Weak Contractions
Author(s) -
Sumit Chandok
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/102980
Subject(s) - mathematics , fixed point , invariant (physics) , class (philosophy) , pure mathematics , discrete mathematics , mathematical analysis , mathematical physics , artificial intelligence , computer science
Sufficient conditions for the existence of a common fixed point of generalized -weakly contractive noncommuting mappings are derived. As applications, some results on the set of best approximation for this class of mappings are obtained. The proved results generalize and extend various known results in the literature
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