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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.4
- 발행연도
- 2018.12
- 수록면
- 723 - 742 (20page)
- DOI
- 10.22771/nfaa.2018.23.04.10
이용수
초록· 키워드
오류제보하기
In this paper, we prove existence and uniqueness of fixed points for a multivalued mapping in complete G-metric space which satisfies some nonlinear contractive conditions. We show that the multivalued nonlinear contraction mapping reduces to multivalued linear contraction mapping by establishing the boundedness of orbit of the same. Our results generalize existing results in the literature.
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참고문헌 (49)
참고문헌 신청
M. Abbas / 2013 / A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces / Topol. Appl 160:553~563
T.V. An / 2013 / A new approach to fixed point theorems on G-metric spaces / Topol. Appl 160:1486~1493
M. Asadi / 2016 / Some fixed point and common fixed point theorems on G-metric spaces / Nonlinear Funct. Anal. and Appl 21(3):523~530
D.W. Boyd / 1968 / On nonlinear contractions / Proc. Amer. Math. Soc 89:458~464
S.K. Chatterjea / 1972 / Fixed-point theorems / Comptes Rendus de lAcademie Bulgare des Sci-ences 25:727~730
T.V. An / 2013 / A new approach to fixed point theorems on G-metric spaces / Topol. Appl 160:1486~1493
M. Asadi / 2016 / Some fixed point and common fixed point theorems on G-metric spaces / Nonlinear Funct. Anal. and Appl 21(3):523~530
D.W. Boyd / 1968 / On nonlinear contractions / Proc. Amer. Math. Soc 89:458~464
S.K. Chatterjea / 1972 / Fixed-point theorems / Comptes Rendus de lAcademie Bulgare des Sci-ences 25:727~730
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