Complex Valued Dislocated Metric Space and Related Fixed Point Theorems

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.