Some Fixed Point Theorems for (α,β, z)-Contraction Mapping under Simulation Functions in Banach Space

被引:0
|
作者
Mishra, Snehlata [1 ]
Mishra, Urmila [2 ]
Dubey, Anil Kumar [3 ]
Pandey, M. D. [3 ]
机构
[1] Dr CV Raman Univ, Dept Math, Kargi Rd, Bilaspur, Chhattisgarh, India
[2] Vishwavidyalaya Engn Coll, Dept Math, Lakhanpur Ambikapur, Chhatisgarh, India
[3] Bhilai Inst Technol, Dept Appl Math, Bhilai House, Durg, Chhattisgarh, India
来源
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2023年 / 14卷 / 01期
关键词
Banach space; Fixed point; (alpha; beta; z)-admissible mapping; Simulation functions;
D O I
10.26713/cma.v14i1.1828
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove some fixed point results in the setting of a Banach space via a cyclic (alpha, beta, z)-admissible mapping imbedded in simulation function. Our results extend and generalize some well known results in the existing literature.
引用
收藏
页码:1 / 7
页数:7
相关论文
共 50 条
  • [1] SOME FIXED POINT THEOREMS FOR ( α, β )-ADMISSIBLE Z-CONTRACTION MAPPING IN METRIC-LIKE SPACES
    Dipti
    Dubey, Anil Kumar
    Mishra, Urmila
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2024, 39 (02): : 303 - 316
  • [2] Fixed Point Theorems for Pseudo-Banach Contraction
    Makaje, Nifatamah
    Sama-Ae, Areeyuth
    Phon-On, Aniruth
    THAI JOURNAL OF MATHEMATICS, 2021, 19 (04): : 1385 - 1397
  • [3] Fixed points of generalized rational (α, β, Z)-contraction mappings under simulation functions
    Stephen, Thounaojam
    Rohen, Yumnam
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 24 (04): : 345 - 357
  • [4] On some fixed-point theorems for ψ-contraction on metric space involving a graph
    Mahpeyker Öztürk
    Ekber Girgin
    Journal of Inequalities and Applications, 2014
  • [5] On some fixed-point theorems for ψ-contraction on metric space involving a graph
    Ozturk, Mahpeyker
    Girgin, Ekber
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [6] SOME FIXED POINT THEOREMS VIA COMBINATION OF WEAK CONTRACTION AND CARISTI CONTRACTIVE MAPPING
    Roy, Kushal
    Panja, Sayantan
    Saha, Mantu
    Mitrovic, Zoran D.
    ANNALES MATHEMATICAE SILESIANAE, 2021, 35 (02) : 289 - 301
  • [7] SOME FIXED POINT THEOREMS UNDER CONTRACTION CONDITIONS USING LINEAR AND RATIONAL EXPRESSION IN DISLOCATED METRIC SPACE
    Mittal, N.
    Kumar, P.
    Ansari, Z. K.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (03): : 1283 - 1294
  • [8] FIXED POINT AND ACUTE POINT THEOREMS FOR GENERALIZED PSEUDOCONTRACTIONS IN A BANACH SPACE
    Kawasaki, Toshiharu
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (06) : 1057 - 1075
  • [9] SOME FIXED POINT THEOREMS FOR NONSELF GENERALIZED CONTRACTION
    Rus, Ioan A.
    Serban, Marcel-Adrian
    MISKOLC MATHEMATICAL NOTES, 2017, 17 (02) : 1021 - 1031
  • [10] On Some Fixed Point Results for Cyclic (α,β)-admissible Almost z-Contraction in Metric-Like Space with Simulation Function
    Mishra, Snehlata
    Dubey, Anil Kumar
    Mishra, Urmila
    Dubey, R. P.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2022, 13 (01): : 223 - 233