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

Some applications via fixed point results in partially ordered S b SbS_{b} -metric spaces

Abstract In this paper we give some applications to integral equations as well as homotopy theory via fixed point theorems in partially ordered complete S b $S_{b}$ -metric spaces by using generalized contractive conditions. We also furnish an example which supports our main result

Covarian mappings and coupled fixed point results in bipolar metric spaces

In this paper, we establish the existence and uniqueness of common coupled fixed point results for three covariant mappings in bipolar metric spaces. Moreover, we give an illustration which presents the applicability of the achieved results also we provided applications to homotopy theory as well as integral equations

Caristi type cyclic contraction and common fixed point theorems in bipolar metric spaces with applications

Abstract In this paper, we obtain the existence and uniqueness of the solution for three self mappings in a complete bipolar metric space under a new Caristi type contraction with an example. We also provide applications to homotopy theory and nonlinear integral equations

Многозначные ∆-симметричные ковариантные результаты в биполярных метрических пространствах

In this paper, we proved some coupled fixed point theorems for Hybrid pair of mappings by using ∆-symmetric covariant mappings in bipolar metric spaces. Also we give some examples which supports our resultsВ этой статье мы докаываем некоторые теоремы о парных фиксированных точках для гибридных пар в отображениях, использующих ∆-симметрические ковариантные отображения в биполярных метрических пространствах. Мы также даем некоторые примеры, которые основаны на наших результата