On some nonself mappings

Lj B. Ćirić, J. S. Ume, M. S. Khan, H. K. Pathak

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Let X be a Banach space, let K be a non-empty closed subset of X and let T : K →X be a non-self mapping. The main result of this paper is that if T satisfies the contractive-type condition (1.1) below and maps ∂K (∂K the boundary of K) into K, then T has a unique fixed point in K.

Original languageEnglish
Pages (from-to)28-33
Number of pages6
JournalMathematische Nachrichten
Volume251
DOIs
Publication statusPublished - 2003

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Keywords

  • Banach space
  • Fixed point
  • Nonself-mapping

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ćirić, L. B., Ume, J. S., Khan, M. S., & Pathak, H. K. (2003). On some nonself mappings. Mathematische Nachrichten, 251, 28-33. https://doi.org/10.1002/mana.200310028