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BEST PROXIMITY POINTS IN COMPLETE METRIC SPACES WITH (P)-PROPERTY VIA C-CLASS FUNCTIONS
Journal article

BEST PROXIMITY POINTS IN COMPLETE METRIC SPACES WITH (P)-PROPERTY VIA C-CLASS FUNCTIONS

Arslan Hojat Ansari, Wasfi Shatanawi, Alia Kurdi and Georgeta Maniu
Journal of mathematical analysis, Vol.7(6), pp.54-67
01/01/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, using the concept of a C-class function, three types of generalized almost (f, psi, phi, theta)-contractions are defined. By the (P)-property, existence and uniqueness of some best proximity points are stated and proved in this new setting. The results presented herein are a natural continuation of those of Shatanawi and Pitea [Filomat 29(1), 2015, 63-74].

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