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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.8
- 수록면
- 253 - 266 (14page)
- DOI
- https://doi.org/10.7468/jksmeb.2021.28.3.253
이용수
초록· 키워드
오류제보하기
In this paper, we generalize the notion of comparable set-valued mappings by introducing two types of R-closed set-valued mappings and utilize these to obtain an analogue of celebrated Mizoguchi and Takahashi fixed point theorem in relational metric spaces. To annotate the claims and usefulness of such findings, we prove fixed point results for both set-valued and single-valued mappings and validate the assertions with the help of examples. In this way, these investigations extend, modify and generalize some prominent recent fixed point results obtained by Tiammee and Suantai [24], Amini-Harandi and Emami [4], Prasad and Dimri [19] and several others in the settings of relational metric spaces.
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참고문헌 (25)
참고문헌 신청
A. Alam / 2017 / Comparable linear contractions in ordered metric spaces / Fixed Point Theory 18(2):415~432
A. Alam / 2018 / Nonlinear contractions in metric spaces under locally T-transitive binary rela-tions / Fixed Point Theory 19(1):13~24
A. Alam / 2015 / Relation-theoretic contraction principle / J. Fixed Point Theory Appl. 17(4):693~702
A. Amini-Harandi / 2010 / A xed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations / Nonlinear Anal 72(5):2238~2242
N.A. Assad / 1972 / Fixed point theorems for set-valued mappings of contractive type / Pac. J. Math. 43:553~562
A. Alam / 2018 / Nonlinear contractions in metric spaces under locally T-transitive binary rela-tions / Fixed Point Theory 19(1):13~24
A. Alam / 2015 / Relation-theoretic contraction principle / J. Fixed Point Theory Appl. 17(4):693~702
A. Amini-Harandi / 2010 / A xed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations / Nonlinear Anal 72(5):2238~2242
N.A. Assad / 1972 / Fixed point theorems for set-valued mappings of contractive type / Pac. J. Math. 43:553~562
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