On Ćirić-Prešić Operators in Metric Spaces
Author(s) -
Narongsuk Boonsri,
Satit Saejung,
Kittipong Sitthikul
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/5758032
Subject(s) - mathematics , operator (biology) , fixed point , type (biology) , convergence (economics) , variable (mathematics) , metric space , metric (unit) , fixed point theorem , pure mathematics , algebra over a field , mathematical analysis , ecology , repressor , biology , transcription factor , economics , gene , economic growth , biochemistry , chemistry , operations management
We show that the Prešić type operators of several variables can be regarded as an operator of a single variable and the fixed point problem of Prešić type can be regarded as a classical fixed point problem. We extend the recent result of Ćirić and Prešić by using the classical approach of Prešić. The key of the proof is based on the mappings introduced by Kada, Suzuki, and Takahashi. We also discuss the convergence problems of recursive real sequences and the Volterra integral equations as an application of our result.
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