Title of article
Fixed point theorems on orthogonal complete metric spaces with an application
Author/Authors
Touail, Youssef Sultan Moulay Slimane de Beni-Mellal, Morocco , Moutawakil, Driss El. Sultan Moulay Slimane de Beni-Mellal, Morocco
Pages
9
From page
1801
To page
1809
Abstract
In this paper, we introduce the concept of orthogonal contractive mappings and prove some fixed point theorems for such contractions. We establish our results in orthogonal bounded complete metric spaces via the notion of τ−distances. Moreover, an application to a differential equation is given.
Keywords
Fixed point , O-complete metric space , O-contractive map , E-weakly contractive map , distance , Hausdorff topological space
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2701968
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