Fixed Points and Continuity for a Pair of Contractive Maps with Application to Nonlinear Volterra Integral Equations. (16th August 2021)

• Record Type: Journal Article
• Authors: Kumar, Santosh
• Other Names: Hussain Nawab Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-08-16
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/9982217
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we have established and proved fixed point theorems for the Boyd-Wong-type contraction in metric spaces. In particular, we have generalized the existing results for a pair of mappings that possess a fixed point but not continuous at the fixed point. We can apply this result for both continuous and discontinuous mappings. We have concluded our results by providing an illustrative example for each case and an application to the existence and uniqueness of a solution of nonlinear Volterra integral equations.