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

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Abstract

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).

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Authors and Affiliations

  1. Department of Mathematics Science and Research Branch, Islamic Azad university, Tehran, Iran

    P. Zangenehmehr

  2. Department of Mathematics, Razi University, 67149 , Kermanshah, Iran

    A. P. Farajzadeh

  3. Department of Mathematics, Amirkabir University of Technology, 15916 34311 , Tehran, Iran

    S. M. Vaezpour

Authors
  1. P. Zangenehmehr
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  2. A. P. Farajzadeh
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  3. S. M. Vaezpour
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Correspondence to A. P. Farajzadeh.

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Zangenehmehr, P., Farajzadeh, A.P. & Vaezpour, S.M. On fixed point theorems for monotone increasing vector valued mappings via scalarizing. Positivity 19, 333–340 (2015). https://doi.org/10.1007/s11117-014-0299-z

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  • DOI: https://doi.org/10.1007/s11117-014-0299-z

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