Sentence examples for a space which satisfies from inspiring English sources

We remark that L p, where p > 1 is a space which satisfies the restriction in Theorem 3.1.

In this case the weak-limit of ({x_{n}}) will be a fixed point of T and S. As an example of a Banach space which satisfies all of the above assumptions, one may take (X = ell^{p}), (1 < p < +infty).

There is a rich literature referring to φ-contractions, i.e., a self-operator defined on a metric space, which satisfies d bigl( f ( x ),f ( y ) bigr) leq varphi bigl( d ( x,y ) bigr) (1.1) for any (x,yin X), where φ is a comparison function.

Let be a nonempty weakly compact convex subset of a Banach space which satisfies property (D).

Let be a nonempty weakly compact convex subset of a Banach space which satisfies the property (D).

Let X be a Banach space which satisfies Opial's condition, E be a weakly compact convex subset of X.

Let be a Banach space which satisfies the Opial property, let be a weakly compact convex subset of and let be a nonexpansive mapping.

Let be a Banach space which satisfies Opial's condition and let be a sequence in.

Let X be a Banach space which satisfies the Opial property and ({x_{n}}) be a sequence in X.

Let X be a Banach space which satisfies Opial's condition and ({x_{n}}) be a sequence in X.

Then, is a symmetric space which satisfies (C.C).