Generalized $ f $-nonexpansive R-subweakly commuting multivalued maps
نویسندگان
چکیده
منابع مشابه
Invariant Approximations, Generalized I-contractions, and R-subweakly Commuting Maps
Let S be a subset of a normed space X = (X ,‖ · ‖) and T and I self-mappings of X . Then T is called (1) nonexpansive on S if ‖Tx− Ty‖ ≤ ‖x− y‖ for all x, y ∈ S; (2) Inonexpansive on S if ‖Tx − Ty‖ ≤ ‖Ix − I y‖ for all x, y ∈ S; (3) I-contraction on S if there exists k ∈ [0,1) such that ‖Tx − Ty‖ ≤ k‖Ix − I y‖ for all x, y ∈ S. The set of fixed points of T (resp., I) is denoted by F(T) (resp., ...
متن کاملCommon fixed points and invariant approximations of pointwise R - subweakly commuting maps on nonconvex sets
In this paper we prove a theorem giving sufficient conditions for the existence of common fixed points of pointwise R-subweakly commuting mappings on nonconvex sets. We apply this theorem to derive some results on the existence of common fixed points from the set of best approximation for this class of maps in the set up of metric spaces. The results proved in the paper generalize and extend so...
متن کاملCommon Fixed Points for Noncommuting Generalized (f, g)-Nonexpansive Maps
The results presented in this paper extend and complement the corresponding ones of Hussain-Jungck[Common fixed point and invariant approximation results for noncommuting generalized (f,g)-nonexpansive maps, J. Math. Anal. Appl. 321(2006), 851-861], and drop some restricts such as the continuity of f, g and demiclsedness of f − T . Mathematics Subject Classification: 41A50, 47H10, 54H25
متن کاملGeodesic metric spaces and generalized nonexpansive multivalued mappings
In this paper, we present some common fixed point theorems for two generalized nonexpansive multivalued mappings in CAT(0) spaces as well as in UCED Banach spaces. Moreover, we prove the existence of fixed points for generalized nonexpansive multivalued mappings in complete geodesic metric spaces with convex metric for which the asymptotic center of a bounded sequence in a bounded closed convex...
متن کاملCoincidence and invariant approximation theorems for generalized f-nonexpansive multivalued mappings
The main purpose of this paper is to prove some new coincidence and common fixed point theorems for noncommuting generalized f -nonexpansive multivalued mappings on non-starshaped domain in the framework of a Banach space. As applications, related common fixed point, invariant approximation, and random coincidence point results are established. This work provides extension as well as substantia...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2007
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.38.2007.64