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Title: | Application of Fixed Point Results for Modified Generalized F-Contraction Mappings to Solve Boundary Value Problems |
Authors: | Mebawondu, A. A Mewomo, O. T |
Keywords: | (α, β)-cyclic admissible mapping, fixed point, modified generalized F-contraction, metric-like space |
Issue Date: | 2019 |
Publisher: | PanAmerican Mathematical Journal |
Citation: | Mebawondu, A. A. & Mewomo, O. T. (2019). Application of Fixed Point Results for Modified Generalized F-Contraction Mappings to Solve Boundary Value Problems. PanAmerican Mathematical Journal Volume 29 (2019), Number 4, 45 - 68 |
Series/Report no.: | 29;4 |
Abstract: | The aim of this paper is to introduce the notion of (α, β)-cyclic admissible mapping and modified generalized F-contraction mapping in the framework of metric-like spaces. Fixed point theorems for modified generalized F-contraction mapping in complete metric-like spaces are established. Furthermore, we present examples to support our main results, using these examples, we establish that our main results is a generalization of the fixed point result of Karapinar et al. [Fixed points of conditionally-contractions in complete metric-like spaces, Fixed Point Theory, and Appl. 2015] and a host of others in the literature. As an application, we apply our result to find the existence of a solution to second-order differential equations. Finally, we correct an anomaly detected in the work of Karapinar et al.[17]. Our results improve and extend corresponding results in the literature. |
URI: | http://localhost:8080/xmlui/handle/123456789/291 |
Appears in Collections: | Mathematics |
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