Existence of Common Fixed Points Through Auxiliary Contractions and Applications
In this paper, we introduce a new type of contraction, an M-auxiliary contraction, by modifying existing concepts involving auxiliary functions. We establish existence and uniqueness results for common fixed points of the proposed contraction mapping under suitable conditions. Applications to fractional differential equations and ordinary differential equations are provided to demonstrate the effectiveness of the main theorem.
Authors
- Phakdi Charoensawan (ORCID: https://orcid.org/0000-0001-5063-1220)
- Khuanchanok Chaichana (ORCID: https://orcid.org/0000-0003-3246-673X)
- Raweerote Suparatulatorn (ORCID: https://orcid.org/0000-0003-0790-3811)
- Krittawit Limkul
Institutions
- Phetchabun Rajabhat University (TH)
- Centre of Excellence in Mathematics (TH)
- Chiang Mai University (TH)
Publication Details
- Journal
- Mathematics
- Published
- 2025-05-31
- DOI
- https://doi.org/10.3390/math13111839
- Citations
- 1
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- Chiang Mai University
- Ministry of Higher Education, Science, Research and Innovation, Thailand