Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and Applications. (4th June 2020)

• Record Type: Journal Article
• Authors: He, Fuli; Mostefaoui, Z.; Abdalla, M.
• Other Names: Wang Liguang Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-06-04
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/4070324
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The main aim of this paper is to study and establish some new fixed point theorems for contractive maps that satisfied Mizoguchi-Takahashi's condition in the setting of bicomplex-valued metric spaces. These new results improve and generalize the Banach contraction principle and some well-known results in the literature. Finally, as applications of our results, we give the existence and uniqueness of the solution of a nonlinear integral equation.