convergence theorems
Convergence theorems for uniformly quasi Lipschitzian mappings
... Remark 12 . Several known results on the convergence theorems have shown that the iterative schemes of monotone type are rich in examples. In this connection, readers can refer to Chang et al. [1], Chidume ...
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Convergence theorems of solutions of a generalized variational inequality
... Remark 2.5. In this paper, the generalized variational inequality (1.2), which includes the classical variational inequality (1.4) as a special case, is considered based on itera- tive methods. Strong convergence ...
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Convergence theorems for continuous pseudocontractive mappings in Banach spaces
... weak convergence theorems for continuous pseudocontractive mapping and a weak convergence theorem for nonexpansive mapping in real uniformly convex Banach ...strong convergence theorem, we ...
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Nonlinear ergodic theorems and weak convergence theorems for reversible semigroup of asymptotically nonexpansive mappings in Banach spaces
... ergodic theorems and weak convergence theorems for almost orbits of a reversible semigroup of asymptotically nonexpansive mappings in a uniformly convex Banach space without assuming that X has a ...
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Convergence theorems for Banach space valued integrable multifunctions
... In this section we prove analogous convergence theorems for the sets As before we will start with two Fatou’s type theorems... But first we need the.[r] ...
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Weak convergence theorems of a hybrid algorithm in Hilbert spaces
... Weak convergence theorems are estab- lished in the framework of real Hilbert ...the convergence analysis is given. Weak convergence theorems are estab- lished in a real Hilbert ...
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Convergence theorems of modified Mann iterations
... In this section, we prove weak and strong convergence theorems for asymptotically non- expansive mappings and strong convergence theorem for nonexpansive mappings. Theorem . Let C be a nonempty ...
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Convergence theorems for a bivariate nonexpansive operator
... strong convergence theorems for a double Krasnoselskij- type iterative method to approximate coupled solutions of a bivariate nonexpansive operator T : K × K → K, where K is a nonempty closed and convex ...
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Convergence Theorems for Generalized Alternating Minimization Procedures
... the convergence properties of the estimation procedures are well ...of convergence, or due to approximations needed to compute statistics under a model family over which E-steps cannot be ...(G)EM ...
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Strong and Convergence Theorems for Multivalued Mappings in Spaces
... Δ convergence for Mann iteration of a multivalued nonexpansive mapping whose domain is a nonempty closed convex subset of a CAT0 ...Strong convergence of Ishikawa iteration are also ...
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Convergence Theorems for Partial Sums of Arbitrary Stochastic Sequences
... in convergence theorem of partial sums of random variables and obtained lots of classical results for sequences of independent random variables and martingale ...limit theorems of sequences for random ...
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Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings
... interval [0, 1]. But Mann’s iteration process has only weak convergence, in general. For example, Reich [4] shows that if E is a uniformly convex Banach space and has a Frehet differentiable norm and if the ...
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Convergence theorems of a new iteration for two nonexpansive mappings
... the convergence of iteration schemes constructed through nonexpansive ...strong convergence for a pair of nonexpansive mappings in a uniformly convex Banach ...
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Convergence theorems for fixed points of demicontinuous pseudocontractive mappings
... Remark 3.4. We note that, in Theorem 3.3, the requirement that T satisfies condition (2.4) may be replaced with the weakly inward condition. Furthermore, Theorem 3.3 extends [3, Theorems 2.3 and 2.5] to the more ...
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Fixed point theorems for mappings with condition (B)
... point theorems, demiclosed principles, and ergodic theorem for mappings with condition ...weak convergence theorems for equilibrium problems and the fixed points of mappings with condition ...
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A modified Picard-Mann hybrid iterative algorithm for common fixed points of countable families of nonexpansive mappings
... strong convergence theorems for solving some variational inequality problems and hierarchical fixed point problems are obtained without the aid of the convex linear com- bination of a countable family of ...
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On the convergence of high order Ehrlich type iterative methods for approximating all zeros of a polynomial simultaneously
... local convergence theorems as well as a semilocal convergence theorem (under computationally verifiable initial conditions and with an a posteriori error estimate) for the Ehrlich-type methods T (N) ...
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Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces
... If we put S = T , then iteration scheme (1.2) reduces to S-iteration scheme (1.1). The aim of this paper is to establish some strong convergence theorems and a weak convergence theorem of modified ...
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On fixed points of fundamentally nonexpansive mappings in Banach spaces
... Let K be a nonempty subset of a Banach space (X, k · k), and let T : K → K be a nonexpansive mapping or a generalized nonexpansive mapping. Under the various conditions on K, X and T , existence a fixed point for T has ...
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An algorithm for approximating a common fixed point of a finite family of Lipschitz pseudocontractive multi-valued mappings
... Abstract. The purpose of this paper is twofold. We first give erratum to a proof given by Woldeamanuel et al. [Strong convergence theorems for a common fixed point of a finite family of Lipschitz ...
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