On Generalized Nonexpansive Maps in Banach Spaces
Copyright policy )On Generalized Nonexpansive Maps in Banach Spaces
We introduce a very general class of generalized non-expansive maps. This new class of maps properly includes the class of Suzuki non-expansive maps, Reich–Suzuki type non-expansive maps, and generalized α -non-expansive maps. We establish some basic properties and demiclosed principle for this class of maps. After this, we establish existence and convergence results for this class of maps in the context of uniformly convex Banach spaces and compare several well known iterative algorithms.
demiclosed principle, Banach space, uniformly convex Banach space, Electronic computers. Computer science, generalized non-expansive map, QA75.5-76.95, rate of convergence
demiclosed principle, Banach space, uniformly convex Banach space, Electronic computers. Computer science, generalized non-expansive map, QA75.5-76.95, rate of convergence
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