期刊信息
- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Sb-度量空间中一类映射的公共耦合不动点定理
- 1.浙江建设职业技术学院 基础教育部,浙江 杭州 311231;2.杭州师范大学 理学院,浙江 杭州 311121
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DOI:
10.13763/j.cnki.jhebnu.nse.202101016
Common Coupled Fixed Point Theorems in Sb-metric Space for a Class of Mapping
摘要/Abstract
摘要:
在Sb度量空间中,证明了一类具有混合g单调性的映射的耦合重合点定理和公共耦合不动点定理,并给出实际例子来验证新结果的有效性,拓展和推进了之前文献中的一些相关结果.
Abstract:
n the present paper, a coupled coincidence point theorem and a common coupled fixed point theorem for two mapping in Sb-metric spaces for a class of mapping with g-monotone property were proved. Our results improve and extend the corresponding results of previous literature. One example is presented to verify the effectiveness of our results.
关键词
参考文献 15
- [1] SEDGHI S, SHOBE N, ALIOUCHE A. A Generalization of Fixed Point Theorems in S-metric Spaces [J] . Mat Vesnik 2012, 64(3):258-266.
- [2] SEDGHI S, DZUNG N V. Fixed Point Theorems in S-metric Spaces [J] . Mat Vesnik, 2014, 66(1):113-124.
- [3] SEDGHI S, SHOBKOLAEI N, SHAHRAKI M, et al. Common Fixed Point of Four Maps in S-metric Spaces [J] Math Sci(Springer),2018, 122:137-143. doi:10. 1007/s40096-018-0252-6
- [4] SEDGHI S, GHPLIDAHNEH A, DOŠENOVI'C' T, et al. Common Fixed Point of Four Maps in Sb-metric Metric Spaces [J] . J Linear Topol Algebra, 2016, 5(2):93-104.
- [5] SOUAYAN N, MLAIKI N. A Fixed Point Theorem in Sb-metric Spaces [J] . J Math Comput Sci, 2016, 16:131-139. doi:10. 22436/jmcs. 016. 02. 01
- [6] SOUAYAH N. A Fixed Point in Partial Sb-metric Spaces [J] . Anatele Stiintifice Ate Universitatii Ovidius Constanta,2016, 24(3):351-362. doi:10. 1515/auom-2016-0062
- [7] PRIYOBARTA N, ROHEN Y, MLAIKI N. Complex Valued Sb-metric Spaces [J] . Mathematical Analysis, 2017, 8(3):13-24. doi:10. 2298/fil1409885d
- [8] SINGH M R, SINGH T B. Some Fixed Point Theorems for α-admissible Mappings in Sb-metric Spaces [J] . Journal of Mathematical and Computational Science, 2021, 11(2):1584-1600. doi:10. 28919/jmcs/5383
- [9] ROHENA Y, DOŠENOVIC' T, RADENOVIC' S. A Note on the Paper “A Fixed Point Theorems in Sb-metric Spaces” [J] . Filomat, 2017, 31(11):3335-3346. doi:10. 2298/fil1711335r
- [10] KHOMDRAM B, ROHEN Y. Some Common Coupled Fixed Point Therorms in Sb-metric Spaces [J] . Fasciculi Mathematici, 2018, 60(1):79-92. doi:10. 1515/fascmath-2018-0005
- [11] BHASKAR T G, LAKSHMIKANTHAM V. Fixed Point Theorems in Partially Ordered Metric Spaces and Applications [J] . Nonlinear Anal, 2006, 65:1379-1393. doi:10. 1016/j. na. 2005. 10. 017
- [12] LAKSHMIKANTHAM V, CIRIC L. Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces [J] . Nonlinear Anal, 2009, 70:4341-4349. doi:10. 1016/j. na. 2008. 09. 020
- [13] SOOKPRASERT P, KUMAM P, THONGTHA D. Extension of Almost Generalized Weakly Contractive Mappings in Rectangular b-metric Spaces and Fixed Point Results [J] . Afr Mat, 2017, 28:271-278. doi:10. 1007/s13370-016-0443-y
- [14] KHAN M S, SWALEH M, SESSA S. Fixed Point Theorems by Altering Distances Between the Points [J] . Bull Aust Math Soc, 1984, 30:1-9. doi:10. 1017/s0004972700001659
- [15] RAJ H, HOODA N. Coupled Fixed Point Theorems in S-metric Spaces with Mixed G-monotone Property [J] . International Journal of Emerging Trends in Engineering and Development, 2014(4):68-81.