Some fixed point theorems in ordered partial metric spaces with applications. Issue 1 (1st January 2018)

• Record Type: Journal Article
• Authors: Eke, Kanayo Stella; Oghonyon, Jimevwo Godwin
• Editors: Liu, Lishan
• Is Part Of: Cogent mathematics & statistics. Volume 5:Issue 1(2018)
• Publication Date: 2018-01-01
• Subjects: fixed points -- generalized weakly C-contractive mappings -- partial metric spaces; 47H10; Mathematics -- Periodicals; Statistics -- Periodicals; Mathematics; Statistics; Periodicals; 510
• DOI: 10.1080/25742558.2018.1509426
• Languages: English
• ISSNs: 2574-2558

Abstract

Abstract: We defined the class of generalized weakly C-contractive mappings in partial metric spaces and proved some fixed-point results for such maps in ordered partial metric spaces without exploiting the continuity of any of the functions. We also establish fixed-point theorem for the integral type of these maps. Example is given to support the validity of our result. Our result generalizes the results of Chen and Zhu [3] and others in the literature