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On Orthogonal Coupled Fixed Point Results with an Application

على نتائج النقاط الثابتة المتعامدة المقترنة مع التطبيق
Authors: Gunaseelan Mani; Arul Joseph Gnanaprakasam; Khalil Javed; Santosh Kumar;

On Orthogonal Coupled Fixed Point Results with an Application

Abstract

In this manuscript, owing to the concept of orthogonal coupled contraction mappings type I and II, we prove coupled fixed point theorem in orthogonal metric spaces. In order to strengthen our main results, a suitable example is presented. Moreover, the results we obtained supplement and improve previous research findings. A fruitful application is also supplied to endorse our outcomes.

Keywords

coupled fixed point, Geometry, Cone Metric Spaces, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Point (geometry), QA1-939, FOS: Mathematics, orthogonal coupled contraction mappings, Business, Special maps on metric spaces, Fixed-point theorem, Internal medicine, Biology, Order (exchange), Ecology, Fixed-point and coincidence theorems (topological aspects), Fixed Point Theorems, Pure mathematics, Fixed point, Computer science, Contractive Mappings, FOS: Biological sciences, Physical Sciences, Contraction (grammar), Medicine, Geometry and Topology, Metric space, orthogonal metric spaces, Type (biology), Mathematics, Finance

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
gold