We obtain common fixed point results for generalized I-nonexpansive compatible as well as weakly compatible maps. As applications, various best approximation results for this class of maps are derived in the setup of certain metrizable topological vector spaces.
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We extend the concept of R-subweakly commuting maps due to Shahzad [21] to the case of non-starshaped domain and obtain common fixed point results for this class of maps on non-starshaped domain in the setup of p-normed spaces. As applications, we establish Brosowski-Meinardus type approximation theorems. Our results unify and extend the results of Al-Thagafi, Dotson, Habiniak, Jungck and Sessa, Sahab, Khan and Sessa, Singh and Shahzad.
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