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Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition

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We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings. Our results… Click to show full abstract

We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings. Our results are significant improvement on results of Jung (2007) and Panyanak and Suantai (2020).

Keywords: theorem multivalued; browder convergence; convergence theorem; multivalued mappings

Journal Title: Abstract and Applied Analysis
Year Published: 2020

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