Best proximity points for a new type of set-valued mappings

Year, pages: 2019, 1395 - 1402

In this paper, we introduce a new type of set-valued mappings satisfying a contractive condition involving $SR$-functions. Then we prove a best proximity point theorem concerning the aforementioned mappings. Some new best proximity and fixed point results are obtained as consequences. An example is provided to support the theory.

Kostić, A. 2019. Best proximity points for a new type of set-valued mappings. In Mathematica Slovaca, vol. 69, no.6, pp. 1395-1402. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0316

Kostić, A. (2019). Best proximity points for a new type of set-valued mappings. Mathematica Slovaca, 69(6), 1395-1402. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0316

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava