scholarly journals GENERAL NONLINEAR RANDOM SET-VALUED VARIATIONAL INCLUSION PROBLEMS WITH RANDOM FUZZY MAPPINGS IN BANACH SPACES

2013 ◽  
Vol 28 (2) ◽  
pp. 243-267 ◽  
Author(s):  
Javad Balooee
Keyword(s):  
Banach Spaces ◽  
Variational Inclusion ◽  
Random Set ◽  
Inclusion Problems

scholarly journals Existence and Stability of Iterative Algorithm for a System of Random Set-Valued Variational Inclusion Problems Involving (A,m,η)-Generalized Monotone Operators

2012 ◽  
Vol 2012 ◽  
pp. 1-21
Author(s):  
Jittiporn Suwannawit ◽  
Narin Petrot
Keyword(s):  
Iterative Algorithm ◽  
Monotone Operator ◽  
Existence Of Solutions ◽  
Monotone Operators ◽  
Variational Inclusion ◽  
Random Set ◽  
Inclusion Problems ◽  
Existence And Stability ◽  
The Stability

We introduce and study a class of a system of random set-valued variational inclusion problems. Some conditions for the existence of solutions of such problems are provided, when the operators are contained in the classes of generalized monotone operators, so-called (A,m,η)-monotone operator. Further, the stability of the iterative algorithm for finding a solution of the considered problem is also discussed.

The generalized viscosity explicit rules for solving variational inclusion problems in Banach spaces

Optimization ◽  
2020 ◽  
pp. 1-27 ◽  
Author(s):  
Prasit Cholamjiak ◽  
Nattawut Pholasa ◽  
Suthep Suantai ◽  
Pongsakorn Sunthrayuth
Keyword(s):  
Banach Spaces ◽  
Variational Inclusion ◽  
Inclusion Problems

scholarly journals Strict feasibility of variational inclusion problems in reflexive Banach spaces

2020 ◽  
Vol 16 (5) ◽  
pp. 2495-2502 ◽  
Author(s):  
Xue-Ping Luo ◽  
◽  
Yi-Bin Xiao ◽  
Wei Li ◽  
◽  
...  
Keyword(s):  
Banach Spaces ◽  
Variational Inclusion ◽  
Reflexive Banach Spaces ◽  
Inclusion Problems ◽  
Strict Feasibility

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.

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