Ishikawa iterative process for hemicontractive multi-valued non-self mappings in CAT(0) spaces

Abebe R. Tufa, H. Zegeye

Research output: Contribution to journalArticle

Abstract

Our purpose in this paper is to construct Ishikawa iterative scheme formulti-valued non-self mappings in CAT(0) spaces. Then we obtain strong convergence of the scheme to a fixed point of multi-valued hemicontractive non-self mapping in a complete CAT(0) space. In addition, we define pseudocontractive mapping in CAT(0) spaces and show that a pseudocontractive mapping T with F(T) ≠ ∅ and Tp= { p} , ∀ p∈ F(T) is hemicontractive mapping. Furthermore, we give an example of hemicontractive mapping which is not pseudocontarctive to show that the converse is not necessarily true. Our theorems improve and unify most of the results in the literature.

Original languageEnglish
Pages (from-to)157-169
Number of pages13
JournalRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume113
Issue number1
DOIs
Publication statusPublished - Mar 14 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology
  • Computational Mathematics
  • Applied Mathematics

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