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Existence of zero points for pseudomonotone operators in Banach spaces

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Abstract

The purpose of this paper is to study the existence of zero points for set-valued pseudomonotone operators in a Banach space by using a new condition which was recently proposed by the authors (Matsushita and Takahashi, Set-Valued Analysis 15:251–264, 2007).

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Authors and Affiliations

  1. Department of Information Engineering, Matsue National College of Technology, Nishi-Ikuma, Matsue, Shimane, 690-8518, Japan

    Shin-ya Matsushita

  2. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo, 152-8552, Japan

    Wataru Takahashi

Authors
  1. Shin-ya Matsushita
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  2. Wataru Takahashi
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Correspondence to Shin-ya Matsushita.

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Matsushita, Sy., Takahashi, W. Existence of zero points for pseudomonotone operators in Banach spaces. J Glob Optim 42, 549–558 (2008). https://doi.org/10.1007/s10898-008-9277-y

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  • DOI: https://doi.org/10.1007/s10898-008-9277-y

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