Fixed Points Of Cyclic (σ , λ)-Admissible Generalized Contraction Type Maps In b-Metric Spaces With Applications

被引:0
|
作者
Babu, Dasari Ratna [1 ]
Chander, Kodeboina Bhanu [1 ]
Kumar, Tumurukota Venkata Pradeep [2 ]
Prasad, Nasina Siva [3 ]
Kunda, Narayana [4 ]
机构
[1] PSCMR CET, Dept Math, Vijayawada 520001, India
[2] Acharya Nagarjuna Univ, Dept Math, Nagarjuna Nagar 522501, India
[3] PBR VITS, Dept Math, Kavali 524201, India
[4] Narayana Engn Coll, Dept Math, Gudur 524101, India
来源
关键词
MAPPINGS; THEOREMS; BETA)-(PSI; (ALPHA;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper explores the existence and uniqueness of fixed points for cyclic (sigma , lambda)-admissible generalized contraction type maps in complete b-metric spaces. Further, we apply it to a pair of maps and establish the presence of common fixed points. Our results extend/generalize the results of Kumar et al. [21] from the metric space setting to b-metric spaces. We incorporate a few corollaries from our results and present instances to bolster the findings. Several applications are illustrated.
引用
收藏
页码:379 / 398
页数:20
相关论文
共 50 条
  • [41] FIXED POINT THEOREMS FOR MULTI-VALUED GENERALIZED CONTRACTION IN b-METRIC SPACES
    Hussain, Saddam
    Sarwar, Muhammad
    Tunc, Cemil
    JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (02): : 158 - 166
  • [42] Common fixed point results for generalized --contraction multivalued mappings in b-metric spaces
    Ameer, Eskandar
    Arshad, Muhammad
    Shatanawi, Wasfi
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 3069 - 3086
  • [43] Some common coupled fixed point theorems for generalized contraction in b-metric spaces
    Malhotra, Nidhi
    Bansal, Bindu
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (01): : 8 - 16
  • [44] Fixed point results for generalized rational type α-admissible contractive mappings in the setting of partially ordered b-metric spaces
    Haji, Kedir Husen
    Tola, Kidane Koyas
    Mamud, Mustefa Abduletif
    BMC RESEARCH NOTES, 2022, 15 (01)
  • [45] Fixed point theorems on generalized b-metric spaces
    Petre, Ioan-Radu
    Bota, Monica
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 83 (1-2): : 139 - 159
  • [46] The Existence of Fixed Points for a Different Type of Contractions on Partial b-Metric Spaces
    Nazam, Muhammad
    Isik, Huseyin
    Javed, Khalil
    Naeem, Muhammad
    Arshad, Muhammad
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [47] Multivalued contraction maps on fuzzy b-metric spaces and an application
    Batul, Samina
    Mehmood, Faisar
    Hussain, Azhar
    Sagheer, Dur-e-Shehwar
    Aydi, Hassen
    Mukheimer, Aiman
    AIMS MATHEMATICS, 2022, 7 (04): : 5925 - 5942
  • [48] Fixed points for Quasi contraction maps on complete metric spaces
    Choudhury, Amalendu
    Som, T.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2016, 16 (01): : 26 - 32
  • [49] Common fixed points of almost generalized -contractive mappings in ordered b-metric spaces
    Roshan, Jamal Rezaei
    Parvaneh, Vahid
    Sedghi, Shaban
    Shobkolaei, Nabi
    Shatanawi, Wasfi
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [50] SOME FIXED POINT RESULTS FOR GENERALIZED RATIONAL TYPE CONTRACTION MAPPINGS IN PARTIALLY ORDERED B-METRIC SPACES
    Hieu, Nguyen T.
    Dung, Nguyen V.
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2015, 30 (01): : 49 - 66