Invariant Approximations and R-Subweakly Commuting Maps
By Naseer Shahzad. 2001
107 citations recorded by the source corpus.
The existence of invariant approximations for R-subweakly commuting mappings is proved. Our results extend most of the known results to a new class of noncommuting mappings.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/6a84296d1b5bc7ddd4e095867d0c915e69c0e5a4
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In Applied Mathematics
In Computational Theory and Mathematics
- Nawab Hussain
- Wutiphol Sintunavarat
- Poom Kumam
- Mujahid Abbas
- G. Jungck
- Ismat Beg
- Zeshui Xu
- Ljubomir Ciric
In Geometry and Topology
- Nawab Hussain
- Poom Kumam
- Wutiphol Sintunavarat
- Mujahid Abbas
- Ismat Beg
- G. Jungck
- Stojan Radenovic
- Zoran Kadelburg
Citations in the corpus
- Common fixed point and invariant approximation results for noncommuting generalized (f,g)-nonexpansive maps (2006, methodology): “It is well known that R-subweakly commuting maps are R-weakly commuting and R-weakly commuting maps are compatible but not conversely in general (see [8,16,18]).”
- Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition (2006, background): “Brosowski [6] initiated the study of invariant approximation using fixed point theory and subsequently various interesting and valuable results applying fixed point theorems to obtain invariant approximation appeared in the literature of approximation theory (see [3, 7, 16–18]).”
- Compatible maps and invariant approximations (2007, background): “The pair {f,T } is called (1) commuting if Tf x = f T x for all x ∈M , (2) R-weakly commuting [6,14] if for all x ∈M , there exists R > 0 such that ‖f T x − Tf x‖ R‖f x − T x‖.”
- Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type (2011, background): “Banach contraction principle has been extended in many different directions, see [3-5], etc.”