Hemivariational inequality problems under weak monotonicity on Hadamard manifolds
Fixed Point Methods and Optimization, Volume 3, Issue 3, December 2026, Pages 181–192
Shreyasi Jana
Department of Mathematics, Narajole Raj College, West Medinipur 721211, West Bengal, India
Chandal Nahak
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
Abstract
This article deals with a class of hemivariational inequality problems on Hadamard manifolds under generalized monotonicity assumptions. Using the Fan-KKM lemma, we investigate the existence of solutions for hemivariational inequality problems (HVIP) and mixed hemivariational inequality problems (MHVIP) when the underlying vector fields are weak pseudomonotone and weak monotone, respectively. Our conclusions and future plans may encourage further research in this fascinating area of nonlinear analysis.
Cite this Article as
Shreyasi Jana and Chandal Nahak, Hemivariational inequality problems under weak monotonicity on Hadamard manifolds, Fixed Point Methods and Optimization, 3(3), 181–192, 2026