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Krasnosel’skii-type fixed-set results under weak topology circumstances and applications

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In this paper, using the technique of measure of weak noncompacteness, we prove some fixed set results of Krasnosel’skii type for the sum of two multivalued operators in the setting… Click to show full abstract

In this paper, using the technique of measure of weak noncompacteness, we prove some fixed set results of Krasnosel’skii type for the sum of two multivalued operators in the setting of weak topology, without the assumption of the convexity of their common domain. Applications to the theory of self-similarity are also given.

Keywords: krasnosel skii; weak topology; topology; fixed set; set results; skii type

Journal Title: Fixed Point Theory
Year Published: 2017

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