On Krasnoselskii Fixed Point Theorem and fractal

Sunil Kumar Kashyap, Birendra Kumar Sharma, Amitabh Banerjee and Subhash Chandra Shrivastava

Chaos, Solitons & Fractals, 2014, vol. 61, issue C, 44-45

Abstract: We show that Φ has a fixed point, if S is convex and Φ is convex and closed valued (Sehgal and Singh, 1978) [2], (Wu, 1997 ) [3], in addition Φ is convex-closed under σ(Φ) approximation continuous, this is the fixed (invariant) set. We use these invariants in fractals (in the grab of a self-similar set). We generate the Fractal Set from Krasnoselskii’s Fixed Point Theorem (Sehgal and Singh, 1978) [2], (Wu, 1997) [3].

Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:61:y:2014:i:c:p:44-45

DOI: 10.1016/j.chaos.2014.02.003

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