On the combination of generalized equilibrium problems and its application to bandwidth allocation

Abstract

This paper proposes a new theoretical framework for solving combinations of generalized equilibrium problems (CGEPs). The main contribution is a strong convergence theorem established under milder and more flexible assumptions than those commonly imposed in the existing literature. By relaxing several restrictive conditions, the proposed approach simplifies the convergence analysis while significantly enlarging the class of problems that can be handled within a unified framework. In addition, the theoretical results are applied to a bandwidth allocation problem in communication networks, illustrating the effectiveness and practical relevance of the proposed method.