类拟b-距离空间中几类循环压缩映射不动点定理

司马傲蕾, 贺飞, 路宁

数学学报 ›› 2019, Vol. 62 ›› Issue (3) : 427-440.

PDF(481 KB)
PDF(481 KB)
数学学报 ›› 2019, Vol. 62 ›› Issue (3) : 427-440. DOI: 10.12386/A2019sxxb0040
论文

类拟b-距离空间中几类循环压缩映射不动点定理

    司马傲蕾, 贺飞, 路宁
作者信息 +

Fixed Point Theorems for Several Cyclic-Contractive Mappings in Dislocated Quasi-b-metric Spaces

    Ao Lei SIMA, Fei HE, Ning LU
Author information +
文章历史 +

摘要

在类拟b-距离空间中建立了几种类型的循环映射的不动点定理,所得结果改进并统一了前人文献中的主要结果.而且,给出了几个非平凡的例子突出了其主要结果的优越性.

Abstract

Fixed point theorems for several cyclic contractive mappings are established in dislocated quasi-b-metric spaces. The results obtained in this paper improve and unify some previous results in the existing literature. Moreover, several nontrivial examples are given to illustrate the superiority of the main results.

关键词

类拟b-距离空间 / 循环压缩 / 压缩系数 / 不动点

Key words

dislocated quasi-b-metric space / cyclic contraction / contractive coefficient / fixed point

引用本文

导出引用
司马傲蕾, 贺飞, 路宁. 类拟b-距离空间中几类循环压缩映射不动点定理. 数学学报, 2019, 62(3): 427-440 https://doi.org/10.12386/A2019sxxb0040
Ao Lei SIMA, Fei HE, Ning LU. Fixed Point Theorems for Several Cyclic-Contractive Mappings in Dislocated Quasi-b-metric Spaces. Acta Mathematica Sinica, Chinese Series, 2019, 62(3): 427-440 https://doi.org/10.12386/A2019sxxb0040

参考文献

[1] Alofi A. S. M., Al-Mazrooei A. E., Leyew B. T., Abbas M., Common fixed points of α-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space, J. Nonlinear Sci. Appl., 2017, 10(7):3456-3476.
[2] Amini-Harandi A., Fixed point theory for quasi-contraction maps in b-metric spaces, Fixed Point Theory, 2014, 15:351-358.
[3] Choudhury B. S., Bhandari S. K., Saha P., Unique fixed points of p-cyclic Kannan type probabilistic contractions, Boll. Unione Mat. Ital., 2017, 10:179-189.
[4] Czerwik S., Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis, 1993, 1:5-11.
[5] Du L., He F., Zhang D., Fan J., Fixed point theorems for cyclic mappings in quasi-partial b-metric spaces (in Chinese), Mathematics in Practice and Theory, 2017, 47(10):233-238.
[6] Fan J., He F., Ren K., Fixed point theorem with Jachymski function in dislocated quasi-metric spaces (in Chinese), Mathematica Appl., 2018, 31(1):42-48.
[7] Fan X., Fixed point theorems for cyclic mappings in quasi-partial b-metric spaces, J. Nonlinear Sci. Appl., 2016, 9(5):2175-2189.
[8] Gupta A., Gautam P., Quasi-partial b-metric spaces and some related fixed point theorems, Fixed Point Theory Appl., 2015.
[9] Ilchev A., Zlatanov B., Fixed and best proximity points for Kannan cyclic contractions in modular function spaces, J. Fixed Point Theory Appl., 2017, 19(4):2873-2893.
[10] Jovanovi? M., Kadelburg Z., Radenovi? S., Common fixed point results in metric-type spaces, Fixed Point Theory Appl., 2010.
[11] Karapinar E., A note on Meir-Keeler contractions on dislocated quasi-b-metric, Filomat, 2017, 31(13):4305-4318.
[12] Karapinar E., Erhan I. M., Best proximity point on different type contractions, Appl. Math. Inf. Sci., 2011, 5(3):558-569.
[13] Kirk W. A., Srinivansan P. S., Veeramani P., Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 2003, 4(1):79-89.
[14] Klin-eam C., Suanoom C., Dislocated quasi-b-metric spaces and fixed point theorems for cyclic contractions, Fixed Point Theory Appl., 2015.
[15] Shah M. H., Hussain N., Nonlinear contractions in partially ordered quasi b-metric spaces, Commun. Korean Math. Soc., 2012, 27(1):117-128.
[16] Suzuki T., Basic inequality on a b-metric space and its applications, J. Inequal. Appl., 2017.

基金

国家自然科学基金资助项目(11561049,11471236)

PDF(481 KB)

Accesses

Citation

Detail

段落导航
相关文章

/