A+ CATEGORY SCIENTIFIC UNIT

Fixed point theorems for set-valued $Y$-contractions

Volume 77 / 2007

Ioan A. Rus, Adrian Petruşel, Gabriela Petruşel Banach Center Publications 77 (2007), 227-237 MSC: 47H10, 54H25, 47H06. DOI: 10.4064/bc77-0-17

Abstract

The purpose of this paper is to present several fixed point theorems for the so-called set-valued $Y$-contractions. Set-valued $Y$-contractions in ordered metric spaces, set-valued graphic contractions, set-valued contractions outside a bounded set and set-valued operators on a metric space with cyclic representations are considered.

Authors

  • Ioan A. RusDepartment of Applied Mathematics
    Babeş–Bolyai University Cluj–Napoca
    Kogălniceanu 1
    400084 Cluj–Napoca, Romania
    e-mail
  • Adrian PetruşelDepartment of Applied Mathematics
    Babeş–Bolyai University Cluj–Napoca
    Kogălniceanu 1
    400084 Cluj–Napoca, Romania
    e-mail
  • Gabriela PetruşelDepartment of Applied Mathematics
    Babeş–Bolyai University Cluj–Napoca
    Kogălniceanu 1
    400084 Cluj–Napoca, Romania
    e-mail

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