A discussion on a generalized Geraghty multi-valued mappings and applications

被引：0
作者：
Hojjat Afshari
Maryam Atapour
Erdal Karapınar
机构：
[1] University of Bonab,Department of Mathematics, Faculty of Basic Science
[2] Duy Tan University,Institute of Research and Development
[3] Duy Tan University,Faculty of Natural Sciences
[4] Cankaya University,Department of Mathematics
[5] China Medical University,Department of Medical Research
来源：
Advances in Difference Equations | / 2020卷
关键词：
Directed graph; Generalized Geraghty multi-valued mappings; Coincidence point; Fractional integral equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This research intends to investigate the existence results for both coincidence points and common fixed point of generalized Geraghty multi-valued mappings endowed with a directed graph. The proven results are supported by an example. We also consider fractional integral equations as an application.
引用
收藏
相关论文
共 56 条
[1]  
Abdeljawad T.(2019)Solutions of he nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended b-metric space Symmetry 11 248-260
[2]  
Agarwal R.P.(2020)On the solution of a boundary value problem associated with a fractional differential equation Math. Methods Appl. Sci. 77 319-332
[3]  
Karapinar E.(2017)Generalized TWMS J. Appl. Eng. Math. 32 9-21
[4]  
Kumari P.S.(2016) Geraghty multivalued mappings on b-metric spaces endowed with a graph East Asian Math. J. 27 429-436
[5]  
Adiguzel R.S.(2020)Existence of fixed points of set-valued mappings in b-metric spaces Georgian Math. J. 2015 347-363
[6]  
Aksoy U.(2015)On generalized Electron. J. Differ. Equ. 40 320-337
[7]  
Karapinar E.(2012)- Topol. Methods Nonlinear Anal. 114 263-276
[8]  
Erhan I.M.(2018)-Geraghty contractions on b-metric spaces Chaos Solitons Fractals 123 215-218
[9]  
Afshari A.(2019)Solution of fractional differential equations via coupled fixed point Chaos Solitons Fractals 46 1046-1055
[10]  
Atapour M.(1998)Absolute retract of of the common fixed points set of two multi-functions Atti Semin. Mat. Fis. Univ. Modena 33 1-13
123456