Fixed‐point theorem for a generalized almost Hardy‐Rogers‐type F contraction on metric‐like spaces. (23rd July 2019)

• Record Type: Journal Article
• Authors: Saipara, Plern; Khammahawong, Konrawut; Kumam, Poom
• Other Names: Vigo-Aguiar Jesus guestEditor.; Kumam Poom guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 17(2019)
• Page Start: 5898
• Page End: 5919
• Publication Date: 2019-07-23
• Subjects: almost Hardy‐Rogers‐type contractions -- F contraction -- fixed points -- metric‐like spaces; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5793
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we introduce some fixed‐point theorems for a generalized almost Hardy‐Rogers‐type F contraction in a metric‐like space and give an example to illustrate these main results. Moreover, we show the applications of electric circuit equations, second‐order differential equations, and fractional differential equations. Our results improve, generalize, and extend the corresponding results in literature.