INVARIANT POINTS AND ε-APPROXIMATIONS FOR MAPPINGS SATISFY-ING RATIONAL-TYPE CONTRACTIVE CONDITIONS IN TAKAHASHI SPACES

Abstract

In this paper, we prove some Brosowski-Meinardus type invariant point results for the set of ε-simultaneous approximation and ε-simultaneous coapproximation for rational type contraction mappings defined on Takahashi spaces. Subsequently, we deduce some re-sults on ε-approximation, ε-coapproximation, best approximation and best co-approximation for such class of mappings.

Cuvinte cheie

ε-simultaneous approximatively compact set starshaped set best approximation best simultaneous approximation ε-simultaneous approximation