Year: 2026
Type: article
Abstract: This paper investigates an existence theory for a class of α-nonstandard equilibrium problems defined by trifunctions in real reflexive Banach spaces H.We introduce a generalized framewor K that unifies several models including another types of equilibrium issues.The considered model involves a multivalued operator and a σ-monotone trifunction coupled with an auxiliary bifunction α.By employing the Fan-KKM technique together with weak compactness args in reflexive Banach space, We provide sufficient requirements for the existence of solutions under hemicontinuity, convexity, and diagonal convexity assumptions.The proposed results extend and improve several known existence theorems for equilibrium-type problems involving generalized monotonicity structures.
DOI: 10.28924/apjm/13-133
Authors: Haneen Hameed Muttair, Ayed E. Hashoosh
Institutions: University of Sumer, Thi Qar University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7204034472