Open AccessFixed point theory in complex valued controlled metric spaces with an application
Author(s) -
Muhammad Suhail Aslam,
Mohammad S. R. Chowdhury,
Liliana Guran,
Manar A. Alqudah,
Thabet Abdeljawad
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022663
Subject(s) - mathematics , metric space , metric (unit) , pure mathematics , fisher information metric , extension (predicate logic) , type (biology) , injective metric space , metric differential , intrinsic metric , convex metric space , space (punctuation) , fixed point , fixed point theorem , discrete mathematics , mathematical analysis , computer science , ecology , operations management , economics , biology , programming language , operating system
In this article we have introduced a metric named complex valued controlled metric type space, more generalized form of controlled metric type spaces. This concept is a new extension of the concept complex valued $ b $-metric type space and this one is different from complex valued extended $ b $-metric space. Using the idea of this new metric, some fixed point theorems involving Banach, Kannan and Fisher contractions type are proved. Some examples togetheran application are described to sustain our primary results.