Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/41345
Title: Existence and uniqueness of best proximity points under rational contractivity conditions
Authors: Karapinar, Erdal
Roldan-Lopez-de-Hierro, Antonio-Francisco
Sadarangani Sadarangani, Kishin B. 
UNESCO Clasification: 12 Matemáticas
Keywords: Best proximity point
Fixed point
Rational contractive condition
P-property
Weak P-property
Issue Date: 2016
Journal: Mathematica Slovaca 
Abstract: The main aim of this paper is to present some theorems in order to guarantee existence and uniqueness of best proximity points under rational contractivity conditions using very general test functions. To illustrate the variety of possible test functions, we include some examples of pairs of functions which are included in innovative papers published in the last years. As a consequence, we prove that our results unify and extend some recent results in this field.
URI: http://hdl.handle.net/10553/41345
ISSN: 0139-9918
DOI: 10.1515/ms-2016-0234
Source: Mathematica Slovaca [ISSN 0139-9918], v. 66 (6), p. 1427-1442
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