Two fixed-point theorems for mappings satisfying a general contractive condition of integral type in the modular space (Q610801)
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scientific article; zbMATH DE number 5825737
| Language | Label | Description | Also known as |
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| English | Two fixed-point theorems for mappings satisfying a general contractive condition of integral type in the modular space |
scientific article; zbMATH DE number 5825737 |
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Two fixed-point theorems for mappings satisfying a general contractive condition of integral type in the modular space (English)
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13 December 2010
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Summary: First we prove existence of a fixed point for mappings defined on a complete modular space satisfying a general contractive inequality of integral type. Then we generalize the fixed-point theorem for a quasicontraction mapping given by \textit{M.\,A.\thinspace Khamsi} [Fixed Point Theory Appl.\ 2008, Article ID 916187 (2008; Zbl 1159.47031)] and \textit{Lj.\,B.\thinspace Ćirić} [Proc.\ Am.\ Math.\ Soc.\ 45, No.\,2, 267--273 (1974; Zbl 0291.54056)].
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