Existence of Solutions via C-Class Functions in Ab-Metric Spaces With Applications

Using C-class functions, we demonstrate a few popular common coupled fixed point theorems on Ab-metric spaces and discuss some implications of the main findings. Additionally, we provide examples to illustrate the findings and their applications to both homotopy theory and integral equations

On Certain Fixed Point Theorems in Sb-Metric Spaces With Applications

In this paper, we introduce the notion of generalized (α, φ, ψ)- Geraghty contractive type mappings in the setup of Sb-metric spaces and α-orbital admissible mappings with respect to φ. Furthermore, the fixed-point theorems for such mappings in complete Sb-metric spaces are proven without assuming the subadditivity of ψ. Some examples are provided for supporting of our main results. Also, we gave an application to integral equations as well as Homotopy

Coupled Coincidence Point Theorems for (ψ, α, β)-Weak Contractions in Partially Ordered Partial Metric Spaces

In this paper, we obtain coupled coincidence and coupled fixed points of mappings satisfying a non linear contractive condition in partially ordered partial metric spaces. Our results generalize the theorems of H.Aydi [4] and W. Shatanawi et.al. [20]. We also provide an example to support our results