A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application

Mustafa Mudhesh (), Aftab Hussain, Muhammad Arshad and Hamed Alsulami
Additional contact information
Mustafa Mudhesh: Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan
Aftab Hussain: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Muhammad Arshad: Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan
Hamed Alsulami: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 20, 1-18

Abstract: The aim of this article is to investigate the relationship between integral-type contractions and the generalized dynamic process. The fixed-point results for multivalued mappings that satisfy both the integral Khan-type contraction and the integral θ -contraction are established in a complete metric space. Furthermore, some corollaries are derived based on our main contribution. To demonstrate the novelty of our findings, several examples are provided. Finally, we look into whether nonlinear fractional differential equations have solutions utilizing the obtained results.

Keywords: fixed point; integral Khan-type ( ? , ? )-contraction; integral ? -contraction; generalized dynamic process; fractional differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/20/4318/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/20/4318/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:20:p:4318-:d:1261387

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().