On properties of sets related to f-projections

Best approximations, fixed points and parametric projections

“…Now the subsequences (z n N ) N , (x n N ) N , (g n N ) N , satisfy the following property (see Lemma 2.1 and Lemma 2.2 of [11] and (13), (8), (12), (14)…”

New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces

“…The notion of -best approximation in a vector space was given by Breckner and Brosowski [1] and in a Hausdorff topological space by Narang [2,3]. For a Hausdorff locally convex topological vector space and a continuous sublinear functional on , certain results on best approximation relative to the functional were proved in [1,4]. By using the existence of elements of -best approximation, certain results on fixed points were proved by Pai and Veermani in [5].…”