On Krasnoselskii Fixed Point Theorem and fractal

被引:8
|
作者
Kashyap, Sunil Kumar [1 ]
Sharma, Birendra Kumar [1 ]
Banerjee, Amitabh [1 ]
Shrivastava, Subhash Chandra [1 ]
机构
[1] Pandit Ravishankar Shukla Univ, Sch Studies Math, Raipur 492001, Chhattisgarh, India
关键词
Compendex;
D O I
10.1016/j.chaos.2014.02.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that (I) has a fixed point, if S is convex and (1) is convex and closed valued (Sehgal and Singh, 1978) [2], (Wu, 1997) [3], in addition (I) is convex-closed under sigma-(Phi) 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]. (C) 2014 Elsevier Ltd. All rights reserved.
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收藏
页码:44 / 45
页数:2
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