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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.29 No.1
- 발행연도
- 2024.3
- 수록면
- 69 - 81 (13page)
- DOI
- 10.22771/nfaa.2024.29.01.06
이용수
초록· 키워드
오류제보하기
In this paper, we provide certain fixed point results for a generalized $\alpha$-nonexpan-sive mapping, as well as a new iterative algorithm called $SRJ$-iteration for approximating the fixed point of this class of mappings in the setting of $CAT(0)$ spaces. Furthermore, we establish strong and $\Delta$-convergence theorem for generalized $\alpha$-nonexpansive mapping in $CAT(0)$ space. Finally, we present a numerical example to illustrate our main result and then display the efficiency of the proposed algorithm compared to different iterative algorithms in the literature. Our results obtained in this paper improve, extend and unify results of Abbas et al. [10], Thakur et al. [22] and Piri et al. [19].
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