Báo cáo hóa học: " STRONG CONVERGENCE THEOREMS FOR INFINITE FAMILIES OF NONEXPANSIVE MAPPINGS IN GENERAL BANACH SPACES" ppt

... fixed point theorems for families of nonexpansive mappings are proved in [2, 4, 5], and other references. Many convergence theorems for nonexpansive mappings and families of n onexpansive mappings ... finite families of nonexpan- sive mappings in general Banach spaces. Motivated by Ishikawa’s result, we prove strong convergence theorems for in...

Ngày tải lên: 23/06/2014, 00:20

... families of nonexpansive mappings in [21]. See also [20]. In this paper, using the idea in [21], we prove Browder’s type strong convergence theorems for in nite families of nonexpansive mappings ... 227–239. [21] , Strong convergence theorems for in nite families of nonexpansive mappings in general Banach spaces, Fixed Point Theory and App...

Ngày tải lên: 22/06/2014, 22:20

... Iran Abstract In this paper, using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with ... common element of the set of co mmon fixed point of a semigroup of nonex- pansive mappings and the set of solutions of variational inequality for b-inverse strong...

Ngày tải lên: 20/06/2014, 22:20

... iterations converge strongly to a common fixed point of the mappings T i , i = 1,2. 2. Preliminaries Let C be a closed convex subset of a Hilber t space H and let S and T be nonexpansive mappings of C into itself. ... 2 August 2006 We introduce an iteration scheme for nonexpansive mappings in a Hilbert space and prove that the iteration converges strongly to common fi xed po...

Ngày tải lên: 22/06/2014, 22:20

... countable family of nonexpansive mappings and a solution of variational inequality of an inverse strongly monotone mapping are established. Moreover, we apply our main result to obtain strong convergence theorems ... set of common fixed points of a countable family of nonexpansive mappings is introduced and studied. A strong convergence theorem of the proposed...

Ngày tải lên: 21/06/2014, 00:20

... Marino, G: An implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings. Nonlinear ... Studies in Advanced Mathematics, vol. 28, Cambridge University Press, Cambridge (1990) 13. Suzuki, T: Strong convergence theorems for infinite families of nonexpans...

Ngày tải lên: 21/06/2014, 01:20

... subset C of a real Hilbert space H. Consider the problem of finding a common element of the fixed point set of these mappings and the solution set of a system of equilibrium problems by using hybrid ... Reich, S: Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform opial property. Colloq Math. 65, 169–179 (1993) 2. Kim,...

Ngày tải lên: 21/06/2014, 02:20

... Xu, Fixed point theorems for Lipschitzian semigroups in Banach spaces,Non- linear Analysis 20 (1993), no. 4, 395–404. [13] R. Wittmann, Approximationoffixedpointsofnonexpansivemappings, Archiv ... fixed point theorem for asymptotically nonexpansive mappings, Pro- ceedings of the American Mathematical Society 35 (1972), no. 1, 171–174. STRONG CONVERGENCE THEOREMS FOR ASYMP...

Ngày tải lên: 22/06/2014, 22:20

... S and T are weakly increasing with respect to R implies that S and T areweaklyincreasing mappings. It is noted that the notion of weakly increasing mappings was introduc ed in [9] (also see [16,29]). Example ... refined in [20-23]. In this article, we obtain coincidence point and common fixed point theorems in complete ordered metric spaces for mappings, satisfying a contrac...

Ngày tải lên: 21/06/2014, 02:20

... family of nonexpansive mappings, ” Taiwanese Journal of Mathematics, vol. 12, no. 3, pp. 583–598, 2008. 8 J. S. Jung, Convergence on composite iterative schemes for nonexpansive mappings in Banach spaces,” ... approximants for asymptotically nonexpansive mappings in Banach spaces,” Journal of Approximation Theory, vol. 97, no. 1, pp. 53–64, 1999. 30 N. Shioji...

Ngày tải lên: 21/06/2014, 23:20