\n Definitions:homeomorphism: h:j->k is a homeomorphism if it is continuous, one-to-one, onto, and also its inverse is continuous.fixed point: a fixed point x of a function f is a point such that f(x) = xattractive fixed point: a fixed point p of a function f such that for all numbers x in the neighborhood of p we have the limit as n->infinity of f^n(x) ~ p (f^n means f applied to itself n times. so f^3(2) = f(f(f(2))) )Suppose f and g are conjugate to one another (that there exists a homeomorphism h such that h(f(x)) = g(h(x)).if p is an attractive fixed point of f, show that h(p) is an attractive fixed point of g.\n <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
Definitions:homeomorphism: h:j->k is a homeomorphism if it is continuous, one-to-one, onto, and also its inverse is continuous.fixed point: a fixed point x of a function f is a point such that f(x) = xattractive fixed point: a fixed point p of a function f such that for all numbers x in the neighborhood of p […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/228762"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=228762"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/228762\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=228762"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=228762"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=228762"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}