New fixed point theorems of condensing mappings satisfying the interior condition in Banach spaces |
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| Authors: | Shaoyuan Xu Chongjun Zhu Guanghui Zhou |
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| Institution: | [1]Hubei Normal University, China [2]Huaibei Normal University, China |
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| Abstract: | In this paper, based on a basic result on condensing mappings satisfying the interior condition, some new fixed point theorems
of the condensing mappings of this kind are obtained. As a result, the famous Altman’s theorem, Roth’s theorem and Petryshyn’s
theorem are extended to condensing mappings satisfying the interior condition. |
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| Keywords: | condensing mappings interior condition fixed point Banach space |
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