Sentence examples for be the underlying solid from inspiring English sources

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Let ((X,d)) be a complete cone 2-metric space over the Banach algebra (mathcal{A}) and let P be the underlying solid cone in (mathcal {A}).

Let ((X,d)) be a complete cone 2-metric space over the Banach algebra (mathcal{A}) and P be the underlying solid cone.

Proposition 3.6 Let ( X, d ) be a complete cone metric space over a Banach algebra and let P be the underlying solid cone in Banach algebra.

Let ((X,d)) be a complete cone 2-metric space over the Banach algebra (mathcal{A}) and P be the underlying solid cone and ({T_{i}} _{i=1}^{infty}) be a family of mappings from X to itself.

Let ((X,d)) be a complete cone 2-metric space over the Banach algebra (mathcal{A}) and P be the underlying solid cone and let ({ T_{i}}_{i=1}^{infty}) be a family of mappings from X to itself.

Theorem 3.3 Let ( X, d ) be a complete cone metric space over a Banach algebra and let P be the underlying solid cone with k ∈ P where r ( k ) < 1 2. Suppose the mapping T : X → X satisfies the generalized Lipschitz condition d ( T x, T y ) ⪯ k ( d ( T x, x ) + d ( T y, y ) ) for all  x, y ∈ X.

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