Sentence examples for further if for from inspiring English sources

Further if, for any (x,yin Q), ((x,y in E widetilde{G})) then f has a unique fixed point.

Further, if for all (ainmathbb{A}), we have (|a^a |=|a |^{2}) in a Banach ∗-algebra ((mathbb{A}, *)), then (mathbb{A}) is known as a (C^ -algebra.

Further, if for all (x, yin F(T)), we have (alpha x, y ge1) then T has a unique fixed point in X.

Further, if, for all, then the following hold: (1) is single-valued; (2) is firmly nonexpansive; that is, for any, (2.2). (3) ; (4) is closed and convex.

Further, if For all (x, yin F(T)), with (xne y) such that (alpha (x, Tx ge 1), and (alpha (y, Ty) ge 1), then T has a unique fixed point in X.  .

Further, if for all (x, y in mathrm{Fix}(T)), there exists (zin X) such that (alpha x, z) geq1) and (alpha z,y) geq1), and so fixed point of T is unique.

Further, if and for all, then for all and (1.10) reduces to the following Mann type iterative sequence with errors [9]: (1.14).

Further, if, then for all, and if, then the following statements are also true.   (v) If for some, then for.

In a sign of public anxiety, Taiwan's stock market fell nearly 7percentt Monday morning and would have fallen even further if not for rules preventing individual stocks from falling more than 7percentt in a trading session.

Further, if. for arbitrary v, w ∈ X, there exists y 0 ∈ X such that f y 0 is comparable to fv and fw, then f and g have a unique common fixed point.

Further, if, then for all, and if, then the following statements are also true.