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A relationship between quasimonotone and monotone bifunctions

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Abstract

The purpose of this note is to investigate the situations under which the quasimonotonicity of a bifunction implies its monotonicity. This work generalize and extend some known results by Hadjisavvas (Appl Math Lett 19:913–915, 2006).

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Acknowledgements

The work was supported by National Natural Science Foundation of China (Grant 11701480), China Postdoctoral Science Foundation (Grant 2018M631072), Fundamental Research Funds for the Central Universities, Southwest Minzu University (Grant 2020NYBPY05).

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  1. Department of Mathematics, Southwest Minzu University, Chengdu, 610041, Sichuan, People’s Republic of China

    Xue-ping Luo

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  1. Xue-ping Luo
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Correspondence to Xue-ping Luo.

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Luo, Xp. A relationship between quasimonotone and monotone bifunctions. J. Fixed Point Theory Appl. 25, 6 (2023). https://doi.org/10.1007/s11784-022-01020-0

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  • DOI: https://doi.org/10.1007/s11784-022-01020-0

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