On Fixed Point Theorems for Self-Mappings in Complex Metric Spaces with Special Functions

Résumé

This paper delves into the forefront of fixed point theory, focusing on recent advancements within the context of contraction mappings in complex metric spaces. The study introduces a novel perspective by incorporating the pivotal role of control functions in elucidating the behavior and properties of fixed points. We investigate the interplay between contraction mappings and complex metric spaces via control function. We provide an example to illustrate our findings.

AMS subject classification. 47H10, 54H25.

Communicated Editor: A. Chala.

Manuscript received Dec 23, 2023; revised Sep 16, 2024; accepted Dec 11, 2024; published May 12, 2025.
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