Some Fixed-Circle Results with Different Auxiliary Functions

As the generalization of fixed-point theory, fixed-circle problems are interesting and notable geometric constructions. In this paper, we prove that some new necessary conditions investigated for existence a fixed circle given self-mapping in G -metric spaces. The well-known Braincari Chatterjea contractive generalized proving uniqueness obtained theorems. Finally, an application to parametric rectified linear unit activation functions show importance studying problem.