CAT(0) 空间中可数族拟-非扩张映射的分裂公共不动点问题

Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (6): 2093-2105.

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The Split Common Fixed Point Problem for Countable Families of Quasi-Nonexpansive Mappings in CAT(0) Spaces

Dongxue Gao(), Liang Yan(), Weiqi Deng^*()

School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221

Received:2025-03-27 Revised:2025-06-11 Online:2026-12-26 Published:2026-08-14
Contact: Weiqi Deng E-mail:gl349884543@163.com;yl960317@sina.com;dwq1273@126.com
Supported by:
NSFC(11223344)

Abstract

Abstract:

This paper studies the split common fixed point problem for countable families of quasi-nonexpansive mappings in a CAT(0) space. To solve this problem, a Mann-type iterative algorithm is proposed, and the weakly convergence of the generated sequence is established under appropriate conditions. Compared with existing methods, the proposed algorithm constructs the iterative process in a more general space setting, thereby extending the applicability of the split common fixed point problem and improving related theoretical results.

Key words: CAT(0) space, split common fixed point problem, quasi-nonexpansive mapping, countable family.

CLC Number:

O175.23

Dongxue Gao, Liang Yan, Weiqi Deng. The Split Common Fixed Point Problem for Countable Families of Quasi-Nonexpansive Mappings in CAT(0) Spaces[J].Acta mathematica scientia,Series A, 2026, 46(6): 2093-2105.

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The Split Common Fixed Point Problem for Countable Families of Quasi-Nonexpansive Mappings in CAT(0) Spaces

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