New Fixed Point Theorems for Generalized Distances
碩士 === 國立高雄師範大學 === 數學系 === 101 === In the recent developments of fixed point theorems is proving the existence of fixed points on partially ordered metric spaces [20, 23], a generalization of the Banach contraction principle for an integral-type inequality [2, 10, 21], and even some applications to...
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| Format: | Others |
| Language: | en_US |
| Published: |
2013
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| Online Access: | http://ndltd.ncl.edu.tw/handle/06568345757211786780 |
| Summary: | 碩士 === 國立高雄師範大學 === 數學系 === 101 === In the recent developments of fixed point theorems is proving the existence of fixed points on partially ordered metric spaces [20, 23], a generalization of the Banach contraction principle for an integral-type inequality [2, 10, 21], and even some applications to matrix equations and ordinary dierential equations. In this paper, we want to illustrate some new fixed point theorems for generalized distances with tau-zero function in the partially ordered metric space rather than w-distance [23]. In short, we would like to utilize tau-zero function to provide the existence of fixed points on partially ordered metric spaces which is our goal.
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