Properties of Fixed Point Sets of Monotone Nonexpansive Mappings in Banach Spaces |
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| Authors: | Mostafa Bachar |
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| Affiliation: | Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia |
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| Abstract: | In this work, we discuss the properties of the common fixed points set of a commuting family of monotone nonexpansive mappings. In particular, we show that under suitable assumptions, this set is a monotone nonexpansive retract. |
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| Keywords: | Common fixed point fixed point monotone nonexpansive mapping partial order retract weakly connected |
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