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Theorem 1.3(Fixed-point Theorem). Assume that(])9,d'E Cla, b,(ii)K is a positive constant,(i)P∈(a,b),and(iv)g(x)∈[a,列 for all a∈@a,b If g(r)sK<1 for all a E a, 6], then the iteration Pn=g(Pn-1) will converge to the unique fixed point P E[a, b. In this case, P is said to be (1.6) an attractive fixed point If lg()>1 for all a E a, b, then the iteration Pn=g(Pn-1)will not con verge to P In this case, P is said to be a repelling fixed point and the iter-(1.7) ation exhibits local divergence
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