SOME FIXED POINT THEOREMS IN DISLOCATED QUASI ULTRAMETRIC SPACES USING DIFFERENT CONTRACTIONS

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.