Let be a Banach space, and two operators satisfying (i) is a contraction; (ii) is completely continuous. . is a contraction; is completely continuous.
Flights are doubly satisfying: I am transported across entire universes as I traverse land.
Suppose that A : M → X and B : X → X satisfying: (i) A is continuous, AM is relatively weakly compact and A satisfies, (ii) B is a strict contraction satisfying, (iii) Ax + By ∈ M for all x, y ∈ M.
Let (F:mathbb{R}^rightarrow mathbb{R}) be a mapping satisfying: (i) F is strictly increasing, i.e. for all (alpha,beta in mathbb{R}^) such that (alpha
"I think it's in a way more satisfying that I was able to defend my title," Clijsters said.
So all very dramatically satisfying, and I was pleased, I must admit, that Sarah didn't then undergo a complete personality change to allow for a neater ending.
This week, it has been different: "To be able to come here and ride to my potential is really satisfying because I was here last year but wasn't really in the race.
It was satisfying and I was working on problems at the cutting edge of human physiology.
"It's quite satisfying knowing I was able to get back to the front even when I was on my own," said Thomas.
Let Φ denotes the class of all functions ψ : B → B satisfying: (i) ψ is continuous; (ii) ψ(a) < a'.
