Title of article
SOME REMARKS ON THE PAPER “SOME FIXED POINT GENERALIZATIONS ARE NOT REAL GENERALIZATIONS”
Author/Authors
MUSTAFA, ZEAD Qatar University - Department of Mathematics, Statistics and Physics, Qatar , HUANG, HUAPING Hubei Normal University - School of Mathematics and Statistics, China , RADENOVIC, STOJAN Dong Thap University - Faculty of Mathematics and Information Technology, Vietnam
From page
110
To page
116
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 Anal., 77(2011), 1799-1803], [N. Hussain, A. Latif andM.H. Shah: Coupled and tripled coincidence point results without compatibility, Fixed 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, ActaMath. Hungar., 146(2015), No. 1, 261-264] are weaker than the ones obtained without axiomof 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.
Journal title
Journal of Advanced Mathematical Studies
Journal title
Journal of Advanced Mathematical Studies
Record number
2645970
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