Title: SOME REMARKS ON THE PAPER "SOME FIXED POINT GENERALIZATIONS ARE NOT REAL GENERALIZATIONS"
Abstract:In this short paper we show that the results obtained by using the axiom of choice in (R.H. Haghi, Sh. Rezapour and S. Naseer: Some fixed point generalizations are not real generalizations, Nonlinear ...In this short paper we show that the results obtained by using the axiom of choice in (R.H. Haghi, Sh. Rezapour and S. Naseer: Some fixed point generalizations are not real generalizations, Nonlinear Anal., 77(2011), 1799-1803), (N. Hussain, A. Latif and M.H. Shah: Coupled and tripled coincidence point results without compatibility ,F ixed Point Theory Appl., 2012, 2012:77) and (B.K. Bisht, M. Jain and S. Kumar: Erratum to: Common fixed point theorems for expansion mappings in various spaces ,A cta Math. Hungar., 146(2015), No. 1, 261-264) are weaker than the ones obtained without axiom of choice. Furthermore, we claim that all known results with two self-maps f, g: X → X satisfying f(X) ⊆ g(X) do be genuine generalizations of the results with one self-map f : X → X.Read More
Publication Year: 2016
Publication Date: 2016-01-01
Language: en
Type: article
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Cited By Count: 9
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