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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2023.3
- 수록면
- 45 - 60 (16page)
- DOI
- 10.5666/KMJ.2022.63.1.45
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초록· 키워드
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In this paper we suggest an enhanced Geraghty-type contractive mapping for examining the existence properties of classical nonlinear operators with or without prior degenerates. The nonlinear operators are proved to exist with the imposition of the Geraghty-type condition in a non-empty closed subset of complete metric spaces. To showcase some efficacies of the Geraghty-type condition, convergent rate and stability are deduced. The results are used to study some asymptotic properties of perturbed inte gral and hypergeometric operators. The results also extend and generalize some existing Geraghty-type conditions.
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