Sufficient conditions for the existence of a common fixed point of R-subweakly commuting mappings are established within the framework of a convex metric space. As applications, we obtain various results on the best approximation for this class of mappings generalizing the results known from the literature.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 10, pp. 1367–1376, October, 2010.
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Narang, T.D., Chandok, S. Common fixed points and invariant approximation of R-subweakly commuting maps in convex metric spaces. Ukr Math J 62, 1585–1596 (2011). https://doi.org/10.1007/s11253-011-0451-x
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DOI: https://doi.org/10.1007/s11253-011-0451-x