SOME FIXED POINT THEOREMS IN DISLOCATED QUASI ULTRAMETRIC SPACES USING DIFFERENT CONTRACTIONS
- Authors
- Radhakrishnan, B.; Uma, J.; Donganont, S.; Park, C.
- Issue Date
- Dec-2024
- Publisher
- INST APPLIED MATHEMATICS
- Keywords
- contraction mapping; Cauchy sequence; dq-metric space; fixed points; ultrametric space
- Citation
- TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, v.16, no.2, pp 214 - 232
- Pages
- 19
- Indexed
- SCIE
- Journal Title
- TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
- Volume
- 16
- Number
- 2
- Start Page
- 214
- End Page
- 232
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/212956
- DOI
- 10.30546/2219-1259.16.2.2025.214
- ISSN
- 2076-2585
2219-1259
- Abstract
- . This paper generalizes fixed point results in non-traditional metric spaces by introducing dislocated quasi-ultrametric spaces (dq-ultrametric spaces). It establishes fixed point existence and uniqueness using specific contractions, explores implications for integral equations, and expands upon prior findings. Key results are illustrated with examples, broadening the ultrametric framework's applicability.
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