Common fixed point and invariant approximation results in certain metrizable topological vector spaces

We obtain common fixed point results for generalized "Equation missing"<!-- image only, no MathML or LaTex -->-nonexpansive "Equation missing"<!-- image only, no MathML or LaTex -->-subweakly commuting maps on nonstarshaped domain. As applications, we establish noncommutative versions of various best approximation results for this class of maps in certain metrizable topological vector spaces.