Some results on the projective cone normed tensor product spaces over banach algebras
Resumo
For two real Banach algebras $\mathbb{A}_1$ and $\mathbb{A}_2$, let $K_p$ be the projective cone in $\mathbb{A}_1\otimes_\gamma \mathbb{A}_2$. Using this we define a cone norm on the algebraic tensor product of two vector spaces over the Banach algebra $\mathbb{A}_1\otimes_\gamma \mathbb{A}_2$ and discuss some properties. We derive some fixed point theorems in this projective cone normed tensor product space over Banach algebra with a suitable example. For two self mappings $S$ and $T$ on a cone Banach space over Banach algebra, the stability of the iteration scheme $x_{2n+1}=Sx_{2n}$, $x_{2n+2}=Tx_{2n+1},\;n=0,1,2,...$ converging to the common fixed point of $S$ and $T$ is also discussed here.Downloads
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- Cover Letter (English)
- Some Results on the Projective Cone Normed Tensor Product Spaces Over Banach Algebras (English)
- Some Results on the Projective Cone Normed Tensor Product Spaces Over Banach Algebras (English)
- Some Results on the Projective Cone Normed Tensor Product Spaces Over Banach Algebras (English)
Publicado
2018-02-19
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