New fixed point theorems for set-valued contractions in b-metric spaces
Classical Analysis and ODEs
2015-12-15 v1
Abstract
In this paper we indicate a way to generalize a series of fixed point results in the framework of b-metric spaces and we exemplify it by extending Nadler's contraction principle for set-valued functions (see Multi-valued contraction mappings, Pac. J. Math., 30 (1969), 475-488) and a fixed point theorem for set-valued quasi-contractions functions due to H. Aydi, M.F. Bota, E. Karapinar and S. Mitrovic (see A fixed point theorem for set-valued quasi-contractions in b-metric spaces, Fixed Point Theory Appl. 2012, 2012:88).
Keywords
Cite
@article{arxiv.1512.03967,
title = {New fixed point theorems for set-valued contractions in b-metric spaces},
author = {Radu Miculescu and Alexandru Mihail},
journal= {arXiv preprint arXiv:1512.03967},
year = {2015}
}