Iterative Approximation of Fixed Point of Multivalued ρ-Quasi-Nonexpansive Mappings in Modular Function Spaces with Applications

被引:12
|
作者
Okeke, Godwin Amechi [1 ]
Bishop, Sheila Amina [2 ]
Khan, Safeer Hussain [3 ]
机构
[1] Fed Univ Technol Owerri, Sch Phys Sci, Dept Math, PMB 1526, Owerri, Imo State, Nigeria
[2] Covenant Univ, Dept Math, PMB 1023, Ota, Ogun State, Nigeria
[3] Qatar Univ, Dept Math Stat & Phys, POB 2713, Doha, Qatar
关键词
D O I
10.1155/2018/1785702
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Recently, Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. It is our purpose in this study to continue this recent trend in the study of fixed point theory of multivalued nonlinear mappings in modular function spaces. We prove some interesting theorems for rho-quasi-nonexpansive mappings using the Picard-Krasnoselskii hybrid iterative process. We apply our results to solving certain initial value problem.
引用
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页数:9
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