Fixed Point and Coupled Fixed Point Theorems in Soft Parametric Metric Space through C-Class Function
Keywords:
C-class function, Coupled fixed point, Fixed point, Soft parametric metric space, Unique fixed pointAbstract
In this paper, we cultivate some fixed point theorems and coupled fixed point theorem on soft parametric metric space through the C-class function. The concept of soft parametric metric space is a generalization of the classical metric space, which provides a more flexible and realistic framework for modeling and analyzing complex systems. Our results extend and generalize new rational inequalities and provide a sufficient condition for the existence and uniqueness of coupled fixed points of mapping in soft parametric metric space. We quote examples to demonstrate the validity of the obtained results. We also provide some examples in support of our generalized outcomes in multiplicative metric spaces. Our result expands and develops a variety of the latest outcomes in the existing literature. By using this concept, we can different types of contractive results for nonlinear functions with the help of different types of integral equations applications. Our theorem provides a powerful tool for solving coupled fixed point problems in a wide range of applications and it has the potential to inspire new research directions in the fields of soft computing and fixed point theory.
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