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On Invariant Sets Topology
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نویسنده
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Eshaghi Gordji Madjid ,Rostamian Delavar Mohsen
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منبع
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international journal of nonlinear analysis and applications - 2014 - دوره : 5 - شماره : 2 - صفحه:31 -36
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چکیده
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In this paper we introduce and study a new topology related to a self mapping on a nonempty set. let x be a nonempty set and let f be a self mapping on x. then the set of all invariant subsets of x related to f, i.e. τ f := {a ⊆ x : f(a) ⊆ a} ⊆ p(x) is a topology on x. among other things, we find the smallest open sets contains a point x ϵ x. moreover, we find the relations between f and f . for instance, we find the conditions on f to show that whenever f is t0, t1 or t2.
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کلیدواژه
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Topological spaces ,Separation axioms ,Fixed point theorems.
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آدرس
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semnan university, Department of Mathematics, ایران, islamic azad university, Young Researchers Club, ایران
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پست الکترونیکی
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rostamian333@gmail.com
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Authors
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