Proximal schemes by family of szl _widering mappings

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Abed, S.S.^1 ; Maibed, Z.H.^1

Department of Mathematics, College of Education for Pure Science, University of Baghdad, Ibn Al-Haithem, Iraq^1

关键词: Common fixed point;    Nonexpansive mappings;    Nonspreading mappings;    Proximal Points;    Weak and strong convergence;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012006/pdf
DOI  :  10.1088/1757-899X/571/1/012006

来源: IOP

【 摘 要 】

in this paper, we give a concept of szl-widering mapping which is independent of nonspreading mappings, k-strictly pseudo nonspring mappings and nonexpansive mappings. Also we introduce a new proximal point schemes of resolvent and szl-widering mappings. On the other hand, we discuss that the weak and strong convergence for these proximal point schemes in real Hilbert space under different conditions to asymptotic common fixed point of szl-widering mappings.