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A common solution of generalized equilibrium problems and fixed points of pseudo-contractive-type maps
Journal of Applied Mathematics and Computing ( IF 2.4 ) Pub Date : 2020-11-06 , DOI: 10.1007/s12190-020-01457-x Monday Ogudu Nnakwe , Chibueze Christian Okeke
中文翻译:
伪压缩型图的广义均衡问题和不动点的一个通用解
更新日期:2020-11-06
Journal of Applied Mathematics and Computing ( IF 2.4 ) Pub Date : 2020-11-06 , DOI: 10.1007/s12190-020-01457-x Monday Ogudu Nnakwe , Chibueze Christian Okeke
In this paper, a new iterative algorithm of a Halpern-type is constructed. The sequence generated by the algorithm is proved to converge strongly to a common solution of two generalized equilibrium problems and a common J-fixed point of two continuous J-pseudo-contractive maps in a uniformly smooth and uniformly convex real Banach space. Furthermore, a numerical example is given to illustrate the implementability of our algorithm. Finally, the theorem complements, improves and unifies some related recent results in the literature.
中文翻译:
伪压缩型图的广义均衡问题和不动点的一个通用解
本文构造了一种新的Halpern型迭代算法。证明该算法产生的序列在一个均匀光滑且均匀凸的实Banach空间中强烈收敛于两个广义平衡问题的一个公共解和两个连续J伪压缩图的一个公共J固定点。此外,给出了一个数值示例来说明我们算法的可实现性。最后,该定理补充,改进和统一了文献中一些相关的最新成果。