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Fuzzy equilibrium via best proximity pairs in abstract economies

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Abstract

A fuzzy free abstract economy is a generalization of an abstract economy. In this paper, we provide a new theorem concerning the existence of a fuzzy equilibrium pair in a fuzzy free abstract economy by exploiting the general framework of best proximity pairs. An example is also given to illustrate our main results.

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Funding

The authors acknowledge the financial support provided by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT. Moreover, the second author has received research support from Thailand Science Research and Innovation (TSRI) Basic Research Fund: Fiscal year 2021 under project number 64A306000005. Lastly, the third author is supported by KMUTT Research Fund.

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Contributions

Premyuda Dechboon took part in resources, methodology, formal analysis and investigation, and original draft preparation; Poom Kumam did supervision; Parin Chaipunya contributed to resources, writing, review and editing; and Sompong Dhompongsa carried out formal analysis and investigation.

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Correspondence to Poom Kumam.

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The authors declare that they have no conflict of interest.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by Vladik Kreinovich.

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Dechboon, P., Kumam, P., Chaipunya, P. et al. Fuzzy equilibrium via best proximity pairs in abstract economies. Soft Comput 25, 7899–7905 (2021). https://doi.org/10.1007/s00500-021-05680-x

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