Indeed, if there is some (-1)-curve, say C, in Exc(f), then by Castelnuovo's

theorem, contracting this (-1)-curve in X/[X.

Observe that if in

Theorem 12 we have m = n = 1, the statement of

Theorem 12 becomes the statement of

Theorem 3 in [6].

Emami, A fixed point

theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations, Nonlinear Anal.

9] proved the following

theorem as a corollary of a

theorem on triangle-free Euler tours in connected 4-regular graphs.

This will prove the

theorem for this case because by

Theorem 16 the problem of determining if P4 decomposes a (6m + 1)-regular graph is NP-Complete for all m [less than or equal to]1.

Theorem has offices in more than 30 countries worldwide, offering expertise in a range of therapeutic areas and all phases of development.

It was the first major

theorem to be proved using a computer.

Spanning nearly 8 months during 2014, the

Theorem team organised supplier days and seminars to help to inform and educate users from the engineering, manufacturing and design communities who use CAD and Visualization tools.

Szasz (1935) generalized Littlewood's

theorem (LITTLEWOOD, 1911) which states that if ([s.

For this version, all users must ensure that they have upgraded their license to the

Theorem Solutions version 17.

Capacity Theory With Local Rationality: The Strong Fekete-Szego

Theorem on Curves

The following two

theorems generalize [3,

Theorem 2.

If 1 + [alpha] [less than or equal to] 0, then the

theorem is obvious.

Abstract: This article examines the debate over the Coase

theorem that played out in the Economic Record during the 1970s.

Altun: Some generalizations of Caristi type fixed point

theorem on partial metric spaces, Filomat, 26(2012), No.