This book provides a detailed study of recent results in fixed point theory and presents applications in non linear analysis, Integral equations and Homotopy. Each chapter is accompanied by basic definitions, mathematical preliminaries, Lemmas, and proof of main results. The following chapters and discusses about,
- Existence and uniqueness of a common coupled fixed point for two covariant mappings in the class of complete bipolar metric spaces with examples via C-class functions. Two illustrated applications has been proved.
- Contractive mappings of the (α, φ, F) type are used to show certain fixed point results in the context of Sb-metric space, along with appropriate examples that illustrate the key findings. Applications to integral equations and homotopy.
- Coupled fixed point theorems for c* class function in c* algebra valued fuzzy soft metric spaces with suitable example including with the applications.
- Fixed point findings by using (α, φ) - K-type contractive mappings in the setting of partial-b-metric space and suitable examples that supports the main results. Also, applications to integral equations are provided.
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