Abstract
The main purpose of this paper is to prove some common fixed point theorems for pointwise R-subweakly commuting maps on non-starshaped domains in p-normed spaces and locally convex topological vector spaces. As applications, invariant approximation results are established. This work provides extension as well as substantial improvement of several results in the existing literature.
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Akbar, F., Sultana, N. On pointwise R-subweakly commuting maps and best approximations. Anal. Theory Appl. 24, 40–49 (2008). https://doi.org/10.1007/s10496-008-0040-5
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DOI: https://doi.org/10.1007/s10496-008-0040-5
Key words
- common fixed point
- contractive family of functions
- pointwise R-subweakly commuting maps
- invariant approximation