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Generalized Semicontinuity and Existence Theorems for Cone Saddle Points

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Abstract.

This paper is concerned with existence theorems for generalized saddle points (cone saddle points) of vector-valued functions. A concept of lower semicontinuity for vector-valued functions is introduced and its properties are investigated. Previous results of the author are extended by using the lower semicontinuity.

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Authors and Affiliations

  1. Department of Information Science, Faculty of Science, Hirosaki University, Hirosaki 036, Japan, , , , , , JP

    Tamaki Tanaka

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  1. Tamaki Tanaka
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Accepted 26 April 1996

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Tanaka, T. Generalized Semicontinuity and Existence Theorems for Cone Saddle Points . Appl Math Optim 36, 313–322 (1997). https://doi.org/10.1007/s002459900065

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  • DOI: https://doi.org/10.1007/s002459900065

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