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Common fixed point results with applications in convex metric space

Abbas M.

Fasciculi Mathematici

2008

Nr 39

6-15

Sufficient conditions for the existence of a common fixed point for uniformly Cq— commuting mappings satisfying a generalized contractive conditions in the framework of a convex metric space are obtained. As an application, related results on best approximation are derived. Our results generalize various known results in the literature.

On some equations related to derivations in rings and Banach algebras

Vukman J., Kosi-Ulbl I.

Demonstratio Mathematica

2006

Vol. 39, nr 1

61-66

The main purpose of this paper is to investigate additive mapping D : R -> R, where R is a (m + n +1)! and \m2 + n2 - m - n - 4mn\ -torsion free semiprime ring with the identity element, satisfying the relation 2D(xm+n+l) = (m+-n+1)(xmD(x)xn +-xnD(x)xm), for all is an element of R and some integers m > 1, n > 1, m2 + n2 - m - n - 4mn /=0.