Open AccessWell-Posedness of Triequilibrium-Like Problems
Author(s) -
Misbah Iram Bloach,
Muhammad Aslam Noor,
Khalida İnayat Noor
Publication year - 2022
Publication title -
international journal of analysis and applications
Language(s) - English
Resource type - Journals
ISSN - 2291-8639
DOI - 10.28924/2291-8639-20-2022-3
Subject(s) - mathematics , class (philosophy) , metric (unit) , mathematical economics , field (mathematics) , work (physics) , mathematical optimization , calculus (dental) , pure mathematics , computer science , artificial intelligence , operations management , economics , mechanical engineering , medicine , dentistry , engineering
This work emphasizes in presenting new class of equilibrium-like problems, termed as equilibrium-like problems with trifunction. We establish some metric characterizations for the well-posed triequilibrium-like problems. We give some conditions under which the equilibrium-like problems are strongly well-posed. Our results, which give essential and adequate conditions to the well-posedness of triequilibrium-like problems, are acquired by utilizing the assumption of pseudomonotonicity. Technique and ideas of this paper inspire further research in this dynamic field.