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Revista de Matemática Aplicada e Computacional

Volume 8, Emitir 2 (2019)

Artigo de Pesquisa

New Fixed Point Theorems in G-metric Spaces

Abd-Elhamed GM

We prove new theorems for generalized contractions in the setting of G-metric spaces. Our results extend some results of Moradlou and Aggarwal.

Artigo de Pesquisa

Some Characterizations of Involute-Evolute Curve Couple in the Hyperbolic Space

Abdel-Aziz HS, Saad MK and Abdel-Salam AA

This paper aims to show that Frenet apparatus of an evolute curve can be formed according to apparatus of the involute curve in hyperbolic space. We establish relationships among Frenet frame on involute-evolute curve couple in hyperbolic 2-space, hyperbolic 3-space and de Sitter 3-space. Finally, we illustrate some numerical examples in support our main results. 

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