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Existence and uniqueness of best proximity points under rational contractivity conditions

In: Mathematica Slovaca, vol. 66, no. 6
Erdal Karapinar - Antonio-Francisco Roldán-lópez-de-hierro - Kishin Sadarangani

Details:

Year, pages: 2016, 1427 - 1442
Keywords:
best proximity point, fixed point, rational contractive condition, P-property, weak P-property. The second author has been partially supported by Junta de Andalucía by project FQM-268 of the Andalusian CICYE
About article:
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.
How to cite:
ISO 690:
Karapinar, E., Roldán-López-de-hierro, A., Sadarangani, K. 2016. Existence and uniqueness of best proximity points under rational contractivity conditions. In Mathematica Slovaca, vol. 66, no.6, pp. 1427-1442. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0234

APA:
Karapinar, E., Roldán-López-de-hierro, A., Sadarangani, K. (2016). Existence and uniqueness of best proximity points under rational contractivity conditions. Mathematica Slovaca, 66(6), 1427-1442. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0234
About edition:
Published: 1. 12. 2016