Iterative process for lipschitz local strictly pseudocontractive mappings

  • Deng Lei
  • Ding Xie-ping
Article

Abstract

Suppose that K is a non-empty subset of a uniformly smooth Banach space X. Let T:K→X be a Lipschitz local strictly pseudocontractive mapping. In this paper, the iterative sequence which converges strongly to the unique fixed point of T is given. A related result deals with the problem that the Ishikawa iteration process converges strongly to a solution of the equation TX=f wheh T is Lipschitzian and local strongly accretive in X.

Key words

local strictly pseudocontractive local strongly accretive uniformly smooth Banach space 

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Copyright information

© SUT 1994

Authors and Affiliations

  • Deng Lei
    • 1
  • Ding Xie-ping
    • 2
  1. 1.Chongqing Teacher’s CollegeChongqing
  2. 2.Sichuan Normal UniversityChengdu

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