Some Fixed Point Results on Compact Metric Spaces

Abstract: This paper aims to study some generalized fixed-point results in a compact metric space. It mainly focuses on the existence and uniqueness of fixed point of self-mappings on a metric space and its generalizations. This paper uses iterative techniques to show the existence of a unique fixed point for a self-mapping satisfying certain generalized contractive conditions. Keywords: Compact Space, Metric Space Contraction, Fixed Point, Convergence sequence.