QUASI-CONTRACTION MAPPINGS IN MODULAR SPACES

As a generalization to Banach contraction principle, ¶ Ciric introduced the con- cept of quasi-contraction mappings. In this paper, we investigate these kind of mappings in modular function spaces without the ¢2-condition. In particular, we prove the existence of flxed points and discuss their uniqueness. 2000 Subject Classiflcation: Primary 46E30; Secondary 47H09, 47H10.