Approximation of common random fixed points of finite families of N-uniformly $L_i$-Lipschitzian asymptotically hemicontractive Random maps in Banach spaces
Moore, Chika ; Nnanwa, C. P. ; Ugwu, B. C.
Banach J. Math. Anal., Tome 3 (2009) no. 2, p. 77-85 / Harvested from Project Euclid
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Let $(\Omega ,\Sigma ,\mu )$ be a complete probability measure space, $E$ be a real separable Banach space, $K$ a nonempty closed convex subset of E. Let $T : \Omega \times K \to K$, such that $\{T_i\}_{i=1}^N$, be N-uniformly $L_i$-Lipschitzian asymptotically hemicontractive random maps of $K$ with $F=\displaystyle\bigcap_{i=1}^N F(T_i)\ne \emptyset$. We construct an explicit iteration scheme and prove neccessary and sufficient conditions for approximating common fixed points of finite family of asymptotically hemicontractive random maps.
Publié le : 2009-05-15
Classification:  N-uniformly $L_i$-Lipschitzian,  finite family,  asymptotically hemicontractive map,  explicit iteration,  Banach space,  47H06,  47H09,  47J25 
@article{1261086711,
     author = {Moore, Chika and Nnanwa,  C. P. and Ugwu, B. C.},
     title = {Approximation of common random fixed points of finite families of N-uniformly
				$L\_i$-Lipschitzian asymptotically hemicontractive Random maps in Banach spaces},
     journal = {Banach J. Math. Anal.},
     volume = {3},
     number = {2},
     year = {2009},
     pages = { 77-85},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1261086711}
}

Moore, Chika; Nnanwa,  C. P.; Ugwu, B. C. Approximation of common random fixed points of finite families of N-uniformly
				$L_i$-Lipschitzian asymptotically hemicontractive Random maps in Banach spaces. Banach J. Math. Anal., Tome 3 (2009) no. 2, pp.  77-85. http://gdmltest.u-ga.fr/item/1261086711/