Application of fixed point theorem to best simultaneous approximation in convex metric spaces
Kragujevac Journal of Mathematics, Tome 33 (2010), p. 107
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We present existence of common fixed point results as best simultaneous approximation for uniformly $\mathcal{R}$-subweakly mappings on non-starshaped domains in convex spaces. This work provides extension as well as substantial improvement of some results in the existing literature.
Classification :
41A50 47H10 54H25
Keywords: Best approximant, Best simultaneous approximant, Convex metric space, Demiclosed mapping, Fixed point, Nonexpansive mapping, Uniformly asymptotically regular, Asymptotically ${\mathcal{S}}$-nonexpansive.
Keywords: Best approximant, Best simultaneous approximant, Convex metric space, Demiclosed mapping, Fixed point, Nonexpansive mapping, Uniformly asymptotically regular, Asymptotically ${\mathcal{S}}$-nonexpansive.
@article{KJM_2010_33_a9,
author = {Hemant Kumar Nashine},
title = {Application of fixed point theorem to best simultaneous approximation in convex metric spaces},
journal = {Kragujevac Journal of Mathematics},
pages = {107 },
year = {2010},
volume = {33},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2010_33_a9/}
}
Hemant Kumar Nashine. Application of fixed point theorem to best simultaneous approximation in convex metric spaces. Kragujevac Journal of Mathematics, Tome 33 (2010), p. 107 . http://geodesic.mathdoc.fr/item/KJM_2010_33_a9/