Iterative methods for fixed point problems and generalized split feasibility problems in Banach spaces
Volume 11, Issue 2, pp 198217
http://dx.doi.org/10.22436/jnsa.011.02.03
Publication Date: January 23, 2018
Submission Date: August 25, 2017
Revision Date: November 23, 2017
Accteptance Date: December 06, 2017

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Authors
Yanlai Song
 College of Science, Zhongyuan University of Technology, 450007 Zhengzhou, China.
Abstract
In this paper, we study
the Halpern type iterative algorithm to approximate a common solution of fixed point problems of an infinite family of
demimetric mappings and generalized split feasibility problems with firmly nonexpansivelike mappings in Banach spaces.
We also prove strong convergence theorems for a common solution of the abovesaid problems by the proposed iterative algorithm and discuss some applications of our
results.
The methods in this paper are novel and different from those given
in many other paper. And the results are the extension and improvement
of the recent results in the literature.
Share and Cite
ISRP Style
Yanlai Song, Iterative methods for fixed point problems and generalized split feasibility problems in Banach spaces, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 2, 198217
AMA Style
Song Yanlai, Iterative methods for fixed point problems and generalized split feasibility problems in Banach spaces. J. Nonlinear Sci. Appl. (2018); 11(2):198217
Chicago/Turabian Style
Song, Yanlai. "Iterative methods for fixed point problems and generalized split feasibility problems in Banach spaces." Journal of Nonlinear Sciences and Applications, 11, no. 2 (2018): 198217
Keywords
 Banach space
 generalized split feasibility problem
 fixed point
 metric resolvent
 demimetric mapping
MSC
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