Well-posedness of multidimensional semi-infinite variational inequalities with applications

Samal P., Jayswal A., Yao J.

Applicable Analysis, 2025 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.1080/00036811.2025.2567927
  • jurnalın adı: Applicable Analysis
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Açar sözlər: hemicontinuity, monotonicity, semi-infinite variational inequality, Well-posedness
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

In this paper, we investigate a class of multidimensional semi-infinite variational inequality problems and analyze their well-posedness by examining the distance between approximate and exact solutions and the strict monotonicity of the functional. Further, we use the monotonicity and hemicontinuity of the real-valued functional to investigate both the well-posedness and the well-posedness in the generalized sense of the semi-infinite variational inequality problems. Moreover, we formulate a gap function for multidimensional semi-infinite variational inequality problems and establish a relationship between the well-posedness of the aforementioned variational inequality problem and its corresponding gap function. In addition, we present a water distribution problem, where a municipality aims to minimize the cost of supplying water as an illustrative example to demonstrate the validity and applicability of the theoretical results.