Common fixed points and invariant approximation of R-subweakly commuting maps in convex metric spaces

Common 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...

Common Fixed Points of Two Commuting Mappings in Complete Metric Spaces

Sub-Compatible Maps, Weakly Commuting Maps and Common Fixed Points in Cone Metric Spaces

The purpose of this paper is to obtain some common fixed point theorems under weaker conditions such as sub compatible mappings and weakly commuting with respect g in the setting of non normal cone metric space.

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., ...

Some notes on ``Common fixed point of two $R$-weakly commuting mappings in $b$-metric spaces"

Very recently, Kuman et al. [P. Kumam, W. Sintunavarat, S. Sedghi, and N. Shobkolaei. Common Fixed Point of Two $R$-Weakly Commuting Mappings in $b$-Metric Spaces. Journal of Function Spaces, Volume 2015, Article ID 350840, 5 pages] obtained some interesting common fixed point results for two mappings satisfying generalized contractive condition in $b$-metric space without the assumption of the...