scholarly journals On multivalued nonlinear variational inclusion problems with (A,η)-accretive mappings in Banach spaces

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Heng-You Lan
Keyword(s):  
Banach Spaces ◽  
Variational Inclusion ◽  
Inclusion Problems ◽  
Accretive Mappings

scholarly journals Stable Perturbed Iterative Algorithms for Solving New General Systems of Nonlinear Generalized Variational Inclusion in Banach Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Ting-jian Xiong ◽  
Heng-you Lan
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Iterative Algorithms ◽  
General System ◽  
Variational Inclusion ◽  
Operator Technique ◽  
Accretive Mappings ◽  
General Systems ◽  
Resolvent Operator Technique ◽  
The Resolvent Operator

We introduce and study a new general system of nonlinear variational inclusions involving generalizedm-accretive mappings in Banach space. By using the resolvent operator technique associated with generalizedm-accretive mappings due to Huang and Fang, we prove the existence theorem of the solution for this variational inclusion system in uniformly smooth Banach space, and discuss convergence and stability of a class of new perturbed iterative algorithms for solving the inclusion system in Banach spaces. Our results presented in this paper may be viewed as an refinement and improvement of the previously known results.

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
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