WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Complex Valued Dislocated Metric Space and Related Fixed Point Theorems
Authors: , ,
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Abstract: This study investigates the existence and uniqueness of fixed points in the context of dislocated complex-valued metric spaces, a generalized structure that dislocates the self-distance condition and extends classical metric spaces by permitting the distance function to take values in the complex plane. For a pair of self-mappings in a complex-valued dislocated metric space, we proved certain standard fixed-point theorems. Corresponding corollaries from the proven theorems are also given . We generalize and extend the findings demonstrated in a study titled complex valued dislocated metric spaces placed under reference section to two self-maps. A suitable example is provided to support the main result.
Keywords:
Fixed Point Uniqueness, Self Mappings, Convergence, Cauchy Sequence, Complex Valued Dislocated Metric (C.V.D.M.) Space, Banach Contraction Principle
Pages: 635-639
DOI: 10.37394/23206.2025.24.63