An introduction to mixed hemivariational inequality problems on Hadamard manifolds

• S. Jana ^[2] ; C. Nahak ^[1]
  1. [1] Indian Institute of Technology Kharagpur

     Indian Institute of Technology Kharagpur

     India

     
  2. [2] Narajole Raj College
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 78, Nº. 4, 2021, págs. 557-569
• Idioma: inglés
• DOI: 10.1007/s40324-021-00249-y
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this article, we introduce a category of mixed hemivariational inequality problems on Hadamard manifolds. Using Fan-KKM lemma we initiate the existence of solutions of mixed hemivariational inequality problems (MHVIP) when the underlying vector field is monotone. We also establish the proximal point algorithm for solving mixed hemivariational inequality problems on these nonlinear spaces. Our outcomes and schemes may stimulate further exploration in this fascinating and interesting area of analysis.