ON GENERAL CLASS OF NONLINEAR CONTRACTIVE MAPS AND THEIR PERFORMANCE ESTIMATES
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Date
2021-12-06
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Austral Internet Publishing
Abstract
This paper considers two independent general class of nonlinear contractive maps
to study the existence properties of nonlinear operators with prior degenerate. The existence
properties are proved in the framework of approximate fixed points with the imposition of the
general class of contractive conditions in metrical convex spaces without emphasis on completeness
or compactness. For computational purposes, the performance estimates and the sensitivity
dependence of these conditions are obtained for the Picard operator. Practical examples are also
considered to justify the validity of the conditions. The results ensure no term is lost in the operators
with prior degenerate and the conditions are strictly larger class when compare with others
in the literature.
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Citation
O. T. Wahab and S. A. Musa (2021), ON GENERAL CLASS OF NONLINEAR CONTRACTIVE MAPS AND THEIR PERFORMANCE ESTIMATES, Aust. J. Math. Anal. Appl. Vol. 18 (2021), No. 2, Art. 18, 17 pp.