Abstract
AbstractThis is the first paper dealing with the study of minimum and maximum principle sufficiency properties for nonsmooth variational inequalities by using gap functions in the setting of Hadamard manifolds. We also provide some characterizations of these two sufficiency properties. We conclude the paper with a discussion of the error bounds for nonsmooth variational inequalities in the setting of Hadamard manifolds.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference36 articles.
1. Agarwal, P., Dragomir, S.S., Jleli, M., Samet, B. (eds.): Advances in Mathematical Inequalities and Applications Springer, Berlin (2018)
2. Agarwal, P., Jleli, M., Tomar, M.: Certain Hermite–Hadamard type inequalities via generalized k-fractional integrals. J. Inequal. Appl. 2017, 55 (2017). https://doi.org/10.1186/s13660-017-1318-y
3. Al-Homidan, S., Ansari, Q.H., Islam, M.: Browder type fixed point theorem on Hadamard manifolds with applications. J. Nonlinear Convex Anal. 20(11), 2397–2409 (2019)
4. Al-Homidan, S., Ansari, Q.H., Islam, M.: Existence results and proximal point algorithm for equilibrium problems on Hadamard manifolds. Carpath. J. Math. 37(3), 393–406 (2021)
5. Al-Homidan, S., Ansari, Q.H., Nguyen, L.V.: Weak sharp solutions for nonsmooth variational inequalities. J. Optim. Theory Appl. 175(3), 683–701 (2017)