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

Detaily:

Rok, strany: 2016, 1427 - 1442

Kľúčové slová:

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

DOI: https://doi.org/10.1515/ms-2016-0234

O článku:

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.

Ako citovať:

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

O vydaní:

Publikované: 1. 12. 2016