Convergence Theorems for Generalized Mixed Equilibrium and Variational Inclusion Problems of Strict-Pseudocontractive Mappings
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

Voir la notice de l'article

In this paper, we introduce and analyze a new iterative algorithm for finding a common element of the set of fixed points of strictly-pseudocontractive, the set of common solutions of generalized mixed equilibrium problems and the set of common solutions of the variational inclusion with inverse-strongly accretive mappings in Banach spaces. Using our new iterative scheme, we prove strong convergence theorems for approximation of common element of the three above mentioned sets. The results obtained in this paper extend the corresponding results announced by many authors and the previously known results in this area.
Classification : Primary: 47H05, 47H09,47H10, 47J06, 47J25
@article{BMMS_2013_36_4_a15,
     author = {Nawitcha Onjai-Uea and Poom Kumam},
     title = {Convergence {Theorems} for {Generalized} {Mixed} {Equilibrium}  and {Variational} {Inclusion}  {Problems} of {Strict-Pseudocontractive} {Mappings}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a15/}
}
TY  - JOUR
AU  - Nawitcha Onjai-Uea
AU  - Poom Kumam
TI  - Convergence Theorems for Generalized Mixed Equilibrium  and Variational Inclusion  Problems of Strict-Pseudocontractive Mappings
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2013
VL  - 36
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a15/
ID  - BMMS_2013_36_4_a15
ER  - 
%0 Journal Article
%A Nawitcha Onjai-Uea
%A Poom Kumam
%T Convergence Theorems for Generalized Mixed Equilibrium  and Variational Inclusion  Problems of Strict-Pseudocontractive Mappings
%J Bulletin of the Malaysian Mathematical Society
%D 2013
%V 36
%N 4
%U http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a15/
%F BMMS_2013_36_4_a15
Nawitcha Onjai-Uea; Poom Kumam. Convergence Theorems for Generalized Mixed Equilibrium  and Variational Inclusion  Problems of Strict-Pseudocontractive Mappings. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a15/