Quasicontraction Mappings in Modular Spaces without Δ<sub>2</sub>-Condition
<p>Abstract</p> <p>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 <inline-formula> <graphic file...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2008/916187 |
| Summary: | <p>Abstract</p> <p>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 <inline-formula> <graphic file="1687-1812-2008-916187-i1.gif"/></inline-formula>-condition. In particular, we prove the existence of fixed points and discuss their uniqueness.</p> |
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| ISSN: | 1687-1820 1687-1812 |