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A Common Fixed Point Theorem for Generalised F -Kannan Mapping in Metric Space with Applications
Author(s) -
Lucas Wangwe,
Santosh Kumar
Publication year - 2021
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2021/6619877
Subject(s) - mathematics , metric space , fixed point theorem , metric (unit) , ordinary differential equation , fixed point , space (punctuation) , discrete mathematics , differential equation , mathematical analysis , computer science , operations management , economics , operating system
This paper is aimed at proving a common fixed point theorem for - Kannan mappings in metric spaces with an application to integral equations. The main result of the paper will extend and generalise the recent existing fixed point results in the literature. We also provided illustrative examples and some applications to integral equation, nonlinear fractional differential equation, and ordinary differential equation for damped forced oscillations to support the results.

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