Open AccessBoyd-Wong contractions in F-metric spaces and applications
Author(s) -
Ashis Bera,
Lakshmi Kanta Dey,
Sumit Som,
Hiranmoy Garai,
Wutiphol Sintunavarat
Publication year - 2022
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2022.15356
Subject(s) - mathematics , uniqueness , metric space , context (archaeology) , metric (unit) , type (biology) , fixed point theorem , order (exchange) , pure mathematics , mathematical analysis , operations management , finance , ecology , economics , biology , paleontology
The main aim of this paper is to study the Boyd-Wong type fixed point result in the F-metric context and apply it to obtain some existence and uniqueness criteria of solution(s) to a second order initial value problem and a Caputo fractional differential equation. We substantiate our obtained result by finding a suitable non-trivial example.