NORM CONVERGENCE ITERATIONS FOR BEST PROXIMITY POINTS OF NON-SELF NON-EXPANSIVE MAPPINGS

作者：Jacob Geno Kadwin; Postolache Mihai^*; Marudai M; Raja V

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2017, 79(1): 49-56.

• Non-expansive mapping
• P-property
• hybrid algorithm
• proximity point
• norm convergence

In this paper, we introduce hybrid algorithms for non-self, non-expansive maps on real Hilbert space and prove that the iterative sequence of the algorithm converges strongly to the proximity point of any non-expansive mapping with a nonempty proximity point set. This study is a natural continuation of those of Nakajo and Takahashi on convergence theorems for nonexpansive mappings and nonexpansive semigroups, Math. Anal. Appl., 279 (2003), 372-379].

• 出版日期2017
• 单位中国医科大学