Equilibrium problems under relaxed α-monotonicity on Hadamard manifolds

2021 ◽  
Author(s):  
S. Jana
Keyword(s):  
Equilibrium Problems ◽  
Hadamard Manifolds

scholarly journals Common Solution for a Finite Family of Equilibrium Problems, Quasi-Variational Inclusion Problems and Fixed Points on Hadamard Manifolds

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1161
Author(s):  
Jinhua Zhu ◽  
Jinfang Tang ◽  
Shih-sen Chang ◽  
Min Liu ◽  
Liangcai Zhao
Keyword(s):  
Fixed Point ◽  
Strong Convergence ◽  
Equilibrium Problems ◽  
Fixed Point Problem ◽  
Finite Family ◽  
Variational Inclusion ◽  
Point Problem ◽  
Hadamard Manifolds ◽  
Inclusion Problems ◽  
Common Solution

In this paper, we introduce an iterative algorithm for finding a common solution of a finite family of the equilibrium problems, quasi-variational inclusion problems and fixed point problem on Hadamard manifolds. Under suitable conditions, some strong convergence theorems are proved. Our results extend some recent results in literature.

Maximal element with applications to Nash equilibrium problems in Hadamard manifolds

Optimization ◽  
2019 ◽  
Vol 68 (8) ◽  
pp. 1491-1520
Author(s):  
Hai-Shu Lu ◽  
Rong Li ◽  
Zhi-Hua Wang
Keyword(s):  
Nash Equilibrium ◽  
Maximal Element ◽  
Equilibrium Problems ◽  
Hadamard Manifolds

scholarly journals Some algorithms for equilibrium problems on Hadamard manifolds

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Muhammad Aslam Noor ◽  
Khalida Inayat Noor
Keyword(s):  
Equilibrium Problems ◽  
Hadamard Manifolds

scholarly journals Existence results and two step proximal point algorithm for equilibrium problems on Hadamard manifolds

2021 ◽  
Vol 37 (3) ◽  
pp. 393-406
Author(s):  
SULIMAN AL-HOMIDAN ◽  
◽  
QAMRUL HASAN ANSARI ◽  
MONIRUL ISLAM ◽  
◽  
...  
Keyword(s):  
Proximal Point Algorithm ◽  
Equilibrium Problems ◽  
Existence Of Solutions ◽  
Existence Results ◽  
Coercivity Conditions ◽  
Hadamard Manifolds ◽  
Type Condition ◽  
Proximal Point ◽  
Strong Pseudomonotonicity

"In this paper, we study the existence of solutions of equilibrium problems in the setting of Hadamard manifolds under the pseudomonotonicity and geodesic upper sign continuity of the equilibrium bifunction and under different kinds of coercivity conditions. We also study the existence of solutions of the equilibrium problems under properly quasimonotonicity of the equilibrium bifunction. We propose a two-step proximal point algorithm for solving equilibrium problems in the setting of Hadamard manifolds. The convergence of the proposed algorithm is studied under the strong pseudomonotonicity and Lipschitz-type condition. The results of this paper either extend or generalize several known results in the literature."

Generalized vector quasi-equilibrium problems on Hadamard manifolds

2013 ◽  
Vol 9 (1) ◽  
pp. 155-170 ◽  
Author(s):  
Xia-bo Li ◽  
Nan-jing Huang
Keyword(s):  
Equilibrium Problems ◽  
Quasi Equilibrium ◽  
Hadamard Manifolds
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