1. On Variational Inclusion and Common Fixed Point Problems in q-Uniformly Smooth Banach Spaces.
- Author
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Yanlai Song, Huiying Hu, and Luchuan Ceng
- Subjects
- *
DIFFERENTIAL inclusions , *FIXED point theory , *ITERATIVE methods (Mathematics) , *ALGORITHMS , *SET theory , *BANACH spaces , *STOCHASTIC convergence , *PROBLEM solving - Abstract
We introduce a general iterative algorithm for finding a common element of the common fixedpoint set of an infinite family of ?i-strict pseudocontractions and the solution set of a general system of variational inclusions for two inverse strongly accretive operators in a q-uniformly smooth Banach space. Then, we prove a strong convergence theorem for the iterative sequence generated by the proposed iterative algorithm under very mild conditions. The methods in the paper are novel and different from those in the early and recent literature. Our results can be viewed as the improvement, supplementation, development, and extension of the corresponding results in some references to a great extent. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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