Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications
Author(s) -
Amjad Ali,
Monairah Alansari,
Fahim Ud Din,
Muhammad Arshad,
Awais Asif,
Ghada Ali Basendwah
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/6612448
Subject(s) - mathematics , contraction (grammar) , fixed point , type (biology) , fixed point theorem , metric space , set (abstract data type) , set function , pure mathematics , discrete mathematics , algebra over a field , mathematical analysis , computer science , medicine , ecology , biology , programming language
In this article, we have designed two existence of fixed point theorems which are regarding to set-valued SU-type θ η -contraction and Γ α -contraction via gauge function in the setting of metric spaces. An extensive set of nontrivial example will be given to justify our claim. At the end, we will give an application to prove the existence behavior for the system of functional equation in dynamical system and integral inclusion.
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