Some Common Fixed Point Results in Modular Ultrametric Space Using Various Contractions and Their Application to Well-Posedness

Yahya Almalki, Balaanandhan Radhakrishnan, Uma Jayaraman () and Kandhasamy Tamilvanan
Additional contact information
Yahya Almalki: Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Balaanandhan Radhakrishnan: Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, Tamilnadu, India
Uma Jayaraman: Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, Tamilnadu, India
Kandhasamy Tamilvanan: Department of Mathematics, Faculty of Science & Humanities, R.M.K. Engineering College, Tiruvallur 601206, Tamil Nadu, India

Mathematics, 2023, vol. 11, issue 19, 1-18

Abstract: The aim of this study is to prove the existence and uniqueness of fixed point and common fixed point theorems for self-mappings in modular ultrametric spaces. These theorems are proved under varying contractive circumstances and without the property of spherical completeness. As a consequence, the examples of fixed point and common fixed point problems are correctly formulated. As an application, the well-posedness of a common fixed point problem is proved. This study expands on prior research in modular ultrametric space to provide a more comprehensive understanding of such spaces using generalized contraction.

Keywords: fixed point; common fixed point (CFP); modular metric space; ultrametric space (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/2227-7390/11/19/4077/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/19/4077/ (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:19:p:4077-:d:1247923

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 ().