Hyper-extensions in metric fixed point theory

Abstract

We apply a modern axiomatic system of nonstandard analysis in metric fixed point theory. In particular, we formulate a nonstandard iteration scheme for nonexpansive mappings and present a nonstandard approach to fixed-point problems in direct sums of Banach spaces.

12 pages

References in corpus (2)

• Methodology of Numerical Computations with Infinities and Infinitesimals
• The fixed point property in direct sums and modulus R(a,X)