Abstract
Let E be a smooth Banach space with a norm . Let for any , where stands for the duality pair and J is the normalized duality mapping. With respect to this bifunction , a generalized nonexpansive mapping and a -strongly nonexpansive mapping are defined in . In this paper, using the properties of generalized nonexpansive mappings, we prove convergence theorems for common zero points of a maximal monotone operator and a -strongly nonexpansive mapping.
Citation
Hiroko Manaka. "Convergence Theorems for a Maximal Monotone Operator and a -Strongly Nonexpansive Mapping in a Banach Space." Abstr. Appl. Anal. 2010 1 - 20, 2010. https://doi.org/10.1155/2010/189814
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