Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 916187, 6 pages
doi:10.1155/2008/916187

Quasicontraction mappings in modular spaces without $\Delta_2$-condition

Abstract

As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the Δ2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness.