Fixed Point Results for Perov–Ćirić–Prešić-Type Θ-Contractions with Applications

Jamshaid Ahmad, Saleh Abdullah Al-Mezel and Ravi P. Agarwal
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Jamshaid Ahmad: Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
Saleh Abdullah Al-Mezel: Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
Ravi P. Agarwal: Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA

Mathematics, 2022, vol. 10, issue 12, 1-11

Abstract: The aim of this paper is to introduce the notion of Perov–Ćirić–Prešić-type Θ -contractions and to obtain some generalized fixed point theorems in the setting of vector-valued metric spaces. We derive some fixed point results as consequences of our main results. A nontrivial example is also provided to support the validity of our established results. As an application, we investigate the solution of a semilinear operator system in Banach space.

Keywords: fixed point; vector-valued metric space; ?-contraction; semilinear operator system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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