Sentence examples for be a weak contraction from inspiring English sources

Let be a weak contraction with a function.

Let be a complete metric space and be a weak contraction on.

A mapping is said to be a weak contraction if there exists such that.

T is said to be a weak contraction if T x - T y ≤ x - y - ψ x - y, ∀ x, y ∈ G. (1.2).

Banach contraction principle guarantees that every contractive mapping defined on complete metric spaces has a unique fixed point. is said to be a weak contraction if (1.2).

Let be a complete metric space, and let be a weak contraction on, that is, (1.2). for some is a continuous and nondecreasing function such that is positive on and.

A self-mapping f on X is a weak contraction if the following contractive condition holds: d ( f x, f y ) ≤ d ( x, y ) − φ ( d ( x, y ) ), for all x, y ∈ X, where φ is an altering distance function.

(2) Any mapping T satisfying the contractive condition (1.3) is a weak contraction.

Any mapping T satisfying the contractive condition (1.3) is a weak contraction.

Any Kannan mapping is a weak contraction.

Of course, any contraction is a weak contraction.