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<p>This work is focused on studying solutions to mixed vector equilibrium problems defined over topological vector spaces that are not necessarily normed. Under no assumptions such as monotonicity or convexity of the mapping, the KKM approach is employed. This method makes use of tools from net theory and the topology of function spaces, which are well-suited to general settings of topological linear spaces. Additionally, the stability of the solutions is analyzed using topological techniques, highlighting how the solution set behaves under minor perturbations for the problem data.</p>

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Equilibrium problems in abstract settings: existence and stability via topological techniques

  • 期刊论文

  • 发表日期：

    2026年1月19日

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  • Sonia,
  • R. D. Sarma

摘要

This work is focused on studying solutions to mixed vector equilibrium problems defined over topological vector spaces that are not necessarily normed. Under no assumptions such as monotonicity or convexity of the mapping, the KKM approach is employed. This method makes use of tools from net theory and the topology of function spaces, which are well-suited to general settings of topological linear spaces. Additionally, the stability of the solutions is analyzed using topological techniques, highlighting how the solution set behaves under minor perturbations for the problem data.