STABILITY RESULTS FOR FIXED POINT ITERATION PROCEDURES

Authors

  • Rumen Marinov Technical University, Varna
  • Diana Nedelcheva , Technical University, Varna ,

Abstract

While solving inclusions numerically by an iterative procedure, usually we follow some theoretical model and deal with an approximate numerical sequence. If the numerical sequence converges to a point anticipated by the theoretical sequence, then we say that the iterative procedure is stable. This kind of study plays a vital role in computational analysis, game theory and computer programming. The purpose of this paper is to discuss stability of the Picard iterative procedure for pseudo-Lipschitz         multivalued operators in metric spaces.

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Published

2017-05-11

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