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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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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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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DOI: https://doi.org/10.1007/s00500-021-05680-x