Báo cáo hóa học: " BROWDER’S TYPE STRONG CONVERGENCE THEOREMS FOR INFINITE FAMILIES OF NONEXPANSIVE MAPPINGS IN BANACH SPACES" ppt

... 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 ... Takahashi in [18]proved Browder’s type strong convergence theorems for families of nonexpansive mappings Very recently, the author proved t...

Ngày tải lên: 22/06/2014, 22:20

... [8] introduced a new class of nonlinear mappings in a Hilbert space containing the classes of nonexpansive mappings, nonspreading mappings and hybrid mappings. For λ ∈ R, they call a mapping ... Aoyama–Iemoto–Kohsaka–Takahashi fixed point theorem for λ-hybrid mappings in Hilbert spaces in 2010 to this much wider class of nonlinear mappings in Banach spaces. Seco...

Ngày tải lên: 20/06/2014, 04:20

... 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 ni...

Ngày tải lên: 23/06/2014, 00:20

... [8] introduced a new class of nonlinear mappings in a Hilbert space containing the classes of nonexpansive mappings, nonspreading mappings and hybrid mappings. For λ ∈ R, they call a mapping ... points of nonexpan- sive mappings and nonspreading mappings in a Hilb ert space. Nonlinear Anal. 71, 2082–2089 (2009) [4] Kohsaka, F, Takahashi, W: Fixed point theorems for...

Ngày tải lên: 18/06/2014, 22:20

... Th ´ ese, Universit ´ e de Paris, Paris, France. 2 X. L. Qin and Y. F. Su, Strong convergence theorems for relatively nonexpansive mappings in a Banach space,” Nonlinear Analysis, vol. 67, no. 6, pp. 1958–1965, ... theorem for relatively nonexpansive mappings in a Banach space,” Journal of Approximation Theory, vol. 134, no. 2, pp. 257–266, 2005. 6 Y. F. Su and...

Ngày tải lên: 22/06/2014, 11:20

... Serbia Abstract In this article we obtain a Suzuki -type generalization of a fixed point theorem for generalized multivalued mappings of Ćirić (Matematićki Vesnik, 9(24), 265-272, 1972 ). The obtained results ... functional equation 1 Introduction and preliminaries In 2008 Suzuki [1] introduced a new ty pe of mappings which generalize the well- known Banach contraction prin...

Ngày tải lên: 21/06/2014, 00:20

... Weighted Sums of Sequences of Negatively Dependent Random Variables Qunying Wu College of Science, Guilin University of Technology, Guilin 541004, China Correspondence should be addressed to Qunying Wu, ... Press, Beijing, China, 2006. Journal of Inequalities and Applications 3 If E|X| β < ∞,then lim n →∞ n −1/p n  k1 a nk X k  0, a.s. 1.6 In this paper, we study the stro...

Ngày tải lên: 21/06/2014, 07:20

... condition is of integr al t ype. Branciari [5] obtained a fixed point theorem for a single valued mapping satisfying an analogue of Banach s contraction principle for an integr al-ty pe inequalit ... compatible map- pings,” Fixed Point Theory, vol. 7, no. 2, pp. 287–296, 2006. [5] A. Branciari, “A fixed point theorem for mappings satisfying a general contractive condition of inte...

Ngày tải lên: 22/06/2014, 19:20

... cases mainly improves the resul ts of Cianciaruso et al. [9] in the following aspects. (1) Extend the mappings from one family of mappings to two families of mappings; (2) Extend the mappings from ... non-Lipschitzian mappings of asymptotically nonexpansive type. Israel J Math. 17, 339–346 (1974). doi:10.1007/BF02757136 28. Xu, HK: Existence and convergence for fi...

Ngày tải lên: 20/06/2014, 22:20

... points of an infinite family of nonexpansive mappings, and th e set of solu- tions of a general system of variational inequalities, and then proved the strong conver- gence of the iterative in ... quasivariational inclusion (for short, (SGQVI)) is introduced. By using Banach contraction principle, some existence and uniqueness theorems of solutions for (SGQVI) ar...

Ngày tải lên: 21/06/2014, 00:20