In [1] Baker proved that every isometry from a normed space into a strictly convex

normed linear space is affine.

Rhoades and Soltuz [14] defined a multistep iteration in a

normed linear space E as follows.

A space X is called an absolute multiretract (notation: X [member of] AMR) provided there exists a

normed linear space E and an mr-map r : E [right arrow] X from E onto X.

where X * denotes the dual space of real

normed linear space X and (.

We begin with the definition of a non-Archimedean filed and a non-Archimedean

normed linear space.

in the definition of stability whenever we are working in

normed linear space or

Let T be a linear and nonexpansive operator on a

normed linear space E.

The compactness of the unit ball as a criterion of finite dimensionality of a

normed linear spaceNew topics have also been added including the compactness of the unit ball as a criterion of finite dimensionality of a

normed linear space, the QR algorithm for finding the eigenvalues of a self-adjoint matrix, the Householder algorithm for turning such matrices into tridiagonal form, and the analogy between the convergence of the QR algorithm and Moser's theorem on the asymptotic behavior of the Toda flow as time tends to infinity.

One of the most interesting and hitherto unsolved problems in the theory of farthest points, known as the farthest point problem, is: If every point of a

normed linear space X admits a unique farthest point in a given bounded subset T, then must T be a singleton?

It updates and expands multivariable material and omits the chapters on advanced topics and

normed linear spaces.

He covers the construction of real and complex numbers, metric and Euclidean spaces, complete metric spaces,

normed linear spaces, differentiation, integration, and Fourier analysis on locally compact abelian groups.