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2022 Mixed Variational Inequality Interval-valued Problem: Theorems of Existence of Solutions
Gabriel Ruiz-Garzón, Rafaela Osuna-Gómez, Jaime Ruiz-Zapatero
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Taiwanese J. Math. Advance Publication 1-24 (2022). DOI: 10.11650/tjm/220503


In this article, our efforts focus on finding the conditions for the existence of solutions of Mixed Stampacchia Variational Inequality Interval-valued Problem on Hadamard manifolds with monotonicity assumption by using KKM mappings. Conditions that allow us to prove the existence of equilibrium points in a market of perfect competition. We will identify solutions of Stampacchia variational problem and optimization problem with the interval-valued convex objective function, improving on previous results in the literature. We will illustrate the main results obtained with some examples and numerical results.

Funding Statement

This research was funded by a research grant UPO-1381297 Proyecto I+D+i FEDER.


The authors would like to thank the referees and the editor Professor Jein-Shan Chen for their help in improving this article, as well as to the Instituto de Desarrollo Social y Sostenible (INDESS) and the Universidad de Cádiz for the facilities provided for the preparation of this work.


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Gabriel Ruiz-Garzón. Rafaela Osuna-Gómez. Jaime Ruiz-Zapatero. "Mixed Variational Inequality Interval-valued Problem: Theorems of Existence of Solutions." Taiwanese J. Math. Advance Publication 1 - 24, 2022.


Published: 2022
First available in Project Euclid: 24 May 2022

Digital Object Identifier: 10.11650/tjm/220503

Primary: 49J40 , 58C86 , 65G30 , 91B52

Keywords: applications to economics , interval and finite arithmetic , set-valued on manifolds , variational inequalities

Rights: Copyright © 2022 The Mathematical Society of the Republic of China


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