- 期刊
ON ITERATIVE SOLUTION OF NONLINEAR FUNCTIONAL EQUATIONS IN A METRIC SPACE
摘要
Given that A and P as nonlinear onto and into self-mappings of a complete metric space R, we offer here a constructive proof of the existence of the unique solution of the operator equation Au = Pu, where u ∈ R, by considering the iterative sequence Au_(n+1)=Pu_n (u_0 prechosen, n=0,1,2,...). We use Kannan's criterion [1] for the existence of a unique fixed point of an operator instead of the contraction mapping principle as employed in [2]. Operator equations of the form A^nu=P^mu, where u ∈ R, n and m positive integers, are also treated.
延伸閱讀
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