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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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