Integral Equation via Fixed Point Theorems on a New Type of Convex Contraction in b -Metric and 2-Metric Spaces

Gunasekaran Nallaselli, Arul Joseph Gnanaprakasam, Gunaseelan Mani, Zoran D. Mitrović (), Ahmad Aloqaily and Nabil Mlaiki
Additional contact information
Gunasekaran Nallaselli: Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram, Chennai 603203, India
Arul Joseph Gnanaprakasam: Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram, Chennai 603203, India
Gunaseelan Mani: Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Zoran D. Mitrović: Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
Ahmad Aloqaily: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Nabil Mlaiki: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Mathematics, 2023, vol. 11, issue 2, 1-18

Abstract: Our paper is devoted to describing a new way of generalized convex contraction of type-2 in the framework of b -metric spaces and 2-metric spaces. First, the concept of a new generalized convex contraction on b -metric spaces and 2-metric spaces is introduced, and fixed point theorem is extended to these spaces. Some examples supporting our main results are also presented. Finally, we apply our main result to approximating the solution of the Fredholm integral equation.

Keywords: fixed point approximation; fixed point; new convex contraction; b-metric; ?-admissible; 2-metric spaces (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/2227-7390/11/2/344/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/2/344/ (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:2:p:344-:d:1029810

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 ().