Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings | Zendy

Yekini Shehu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings

Author(s) -

Yekini Shehu

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/251612

Subject(s) - mathematics , banach space , monotone polygon , convergence (economics) , countable set , regular polygon , projection (relational algebra) , weak convergence , fixed point , discrete mathematics , algorithm , pure mathematics , mathematical analysis , computer science , geometry , computer security , economics , asset (computer security) , economic growth

We construct a new Halpern type iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties ofgeneralized f-projection operator. Using this result, we discuss strong convergence theorem concerning general H-monotone mappings. Our results extend many known recent results in the literature

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research