Quasi-nonexpansive mappings with respect to orbits in Banach spaces and weak fixed point property
محورهای موضوعی : Functional analysis
K. Fallahi
1
,
H. Ardakani
2
,
F. Norouzi
3
1 - Javanroud Faculty of Management and Accounting, Razi University, Kermanshah, Iran
2 - Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran
3 - Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran
کلید واژه: Fixed point property, normal structure, nonexpansive mappings,
چکیده مقاله :
In the present work, we introduce quasi-nonexpansive mappings with respect to orbits on the Banach space. Then we show that a Banach space $\mathcal{A}$ has weak normal structure if and only if $\mathcal{A}$ has the weak fixed point property for quasi-nonexpansive mappings with respect to orbits.
In the present work, we introduce quasi-nonexpansive mappings with respect to orbits on the Banach space. Then we show that a Banach space $\mathcal{A}$ has weak normal structure if and only if $\mathcal{A}$ has the weak fixed point property for quasi-nonexpansive mappings with respect to orbits.
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