FIXED POINTS FOR NON-SELF MULTIVALUED OPERATORS ON A SET WITH TWO METRICS

Tania A. Lazăr (Romania) and Vasile L. Lazăr (Romania)

Received July 22, 2009

Abstract

The purpose of this paper is to discuss some basic problems of the fixed point theory for a set with two metrics non-self multivalued generalized contractions. As consequences, new open operators principles are obtained. The results complement and extend some known results in the literature.

Keywords and phrases: set with two metrics, fixed point, open operator, associated field, multivalued operator, domain invariance, generalized contraction.