FIXED POINTS OF ENRICHED ρNONEXPANSIVE MAPPINGS IN MODULAR FUNCTION SPACES

被引：0
|
作者：
Khan, Safeer Hussain [1 ]
机构：
[1] North Carolina Agr & Tech State Univ, Dept Math & Stat, Greensboro, NC 27411 USA
来源：
MATEMATICKI VESNIK | 2024年 / 76卷 / 04期
关键词：
Fixed point; enriched rho- nonexpansive mappings; iterative process; modular function space;
D O I：
10.57016/MV-690ZVGC3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we initiate the study of enriched rho-nonexpansive mappings in modular function spaces. First we show that in modular function spaces, every rho nonexpansive mapping is enriched rho-nonexpansive mapping but not conversely and that their sets of fixed point are same. Next, we prove a rho-convergence result on approximation of fixed points of enriched rho-nonexpansive mappings in modular function spaces. We verify the validity of the result by an example. We construct a table to show our findings. Finally, we give one more rho-convergence result under different conditions. Our results are new for rho-nonexpansive mappings in modular function spaces.
引用
收藏
页码：303 / 310
页数：8
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