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1. A new extragradient method for the split feasibility and fixed point problems.

Author

Ming Zhao and Yunfei Du

Subjects
*FIXED point theory, *NONEXPANSIVE mappings, *MATHEMATICAL mappings, *NONLINEAR operators, *MATHEMATICS
Abstract

In this paper, we propose a new extragradient method with regularization for finding a common element of the solution set Γ of the split feasibility problem and the set Fix(S) of fixed points of a nonexpansive mapping S in infinitedimensional Hilbert spaces, combining the regularization method and the technique of averaged operator, we prove the sequences generated by the proposed algorithm converge weakly to an element of Fix(S)∩Γ under mild conditions. [ABSTRACT FROM AUTHOR]

Published
2019

2. Some Fixed Point Results of Caristi Type in G-Metric Spaces.

Author

Obiedat, Hamed M. and Jaber, Ameer A.

Subjects
*FIXED point theory, *MATHEMATICAL mappings, *NONLINEAR operators, *MATHEMATICS, *CONTINUOUS functions
Abstract

In this paper, we prove several fixed point results for mappings of Caristi type in the setting of G-metric spaces. [ABSTRACT FROM AUTHOR]

Published
2019