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Fixed points of functional Meir-Keeler contractions
Abstract
A fixed point result involving functional
Meir-Keeler conditions is established
over metric spaces.
Further, it is shown that
the related statements in
Amini-Harandi
[Fixed Point Th. Appl., 2012, 2012:215],
and
Wardowski
[Proc. Amer. Math. Soc., 146 (2018), 1585-1598]
are ultimately reducible to such techniques.
Meir-Keeler conditions is established
over metric spaces.
Further, it is shown that
the related statements in
Amini-Harandi
[Fixed Point Th. Appl., 2012, 2012:215],
and
Wardowski
[Proc. Amer. Math. Soc., 146 (2018), 1585-1598]
are ultimately reducible to such techniques.
Keywords
Metric space, fixed point, Picard operator, functional Meir-Keeler property, singular and regular asymptotic map.
DOI: http://dx.doi.org/10.14510%2Flm-ns.v40i1.1469