, Volume 19, Issue 2, pp 333–340 | Cite as

On fixed point theorems for monotone increasing vector valued mappings via scalarizing

  • P. Zangenehmehr
  • A. P. FarajzadehEmail author
  • S. M. Vaezpour


In this paper, first we prove some lemma, then by using the nonlinear scalarization mapping, we present some fixed point theorems for a vector valued mapping. The main result obtained can be viewed as an extension, improvement and repairment of the main theorem given in Kostrykin and Oleynik (Fixed Point Theory Appl 2012:211, 2012).


Fixed point Nonlinear scalarization mapping Solid cone  Minihedral cone Vector valued mapping Partially ordered 

Mathematics Subject Classification

46.005 47.025 47.040 


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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • P. Zangenehmehr
    • 1
  • A. P. Farajzadeh
    • 2
    Email author
  • S. M. Vaezpour
    • 3
  1. 1.Department of Mathematics Science and Research BranchIslamic Azad universityTehranIran
  2. 2.Department of MathematicsRazi UniversityKermanshahIran
  3. 3.Department of MathematicsAmirkabir University of TechnologyTehranIran

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