Common fixed-points for Banach operator pairs in best approximation |
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Authors: | Jianren Chen Zhongkai Li |
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Institution: | a Department of Mathematics, Capital Normal University, Beijing 100037, China b Department of Mathematics, Harbin Normal University, Harbin 150080, China |
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Abstract: | The notion of Banach operator pairs is introduced, as a new class of noncommuting maps. Some common fixed-point theorems for Banach operator pairs and the existence of the common fixed-points of best approximation are presented. These results are proved without the assumption of linearity or affinity for either f or g, which shows that the concept about Banach operator pairs is potentially useful in the study of common fixed-points. |
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Keywords: | Common fixed-point Best approximation Banach operator pair Nonexpansive map |
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