Some Fixed-Point Theorems in Proximity Spaces with Applications
Open Access
- 18 May 2022
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 10 (10), 1724
- https://doi.org/10.3390/math10101724
Abstract
Considering the -distance function defined by Kostić in proximity space, we prove the Matkowski and Boyd–Wong fixed-point theorems in proximity space using -distance, and provide some examples to explain the novelty of our work. Moreover, we characterize Edelstein-type fixed-point theorem in compact proximity space. Finally, we investigate an existence and uniqueness result for solution of a kind of second-order boundary value problem via obtained Matkowski-type fixed-point results under some suitable conditions.
Keywords
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