[PDF] Top 20 Convergence of the Sequence of Successive Approximations to a Fixed Point

... The metric d is a τ -distance on X. Many useful examples and propositions are stated in 9, 18–23 and references therein. The following fixed point theorems are proved in 18. Theorem 2.2 see 18. Let X be a ... See full document

... In , Boyd and Wong proved a very interesting fixed point theorem. See []. The concept of a Boyd-Wong contraction plays an important role in this paper. Indeed, using this concept, we give a condition ... See full document

... common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove strong convergence theorems for nonexpansive mappings and semigroups in a uniformly convex Banach ... See full document

... strong convergence theorem of an iterative scheme associated to a strongly nonexpansive sequence for finding a common element of the set of equilibrium problems and the set of fixed point problems of a ... See full document

... strong convergence theorems for the Ishikawa iterative sequence with errors to a fixed point of strictly pseudocontractive mapping of Browder-Petryshyn type in Banach spaces and give su ffi ... See full document

... a sequence of measurable functions and consider its convergence to the unique common random fixed point of two random operators defined on a nonempty closed subset of a separable Hilbert ... See full document

... strong convergence of the Mann iteration sequence to a fixed point of a demicontractive map T, and the existence of a non-zero solution of a certain variational ... See full document

... iteration sequence converges strongly to a fixed point of a demicontractive ...The convergence does not need to pass through the variational inequality ... See full document

... strong convergence of a sequence generated by a modified Noor iterative process to a com- mon fixed point of a finite family of G-asymptotically nonexpansive self-mappings defined on C with ... See full document

... strong convergence theorem in a Hilbert ...strong convergence of the sequence generated by their iterative algorithm to a common fixed point of an infinite family of nonexpansive ... See full document

... proximity point is some z ∈ A ∪ B such that dz, Tz distA, ...a fixed point of T since distA, B 0 ...zero point set of a maximal monotone operator and the fixed point set of a ... See full document

... Theorem CZ. Let C be a nonempty closed convex subset of a reflexive real Banach space E with a uniformly Gˆateaux differentiable norm. Let T : C → C be a Lipschitz pseudocontractive mapping with Lipschitz constant L > ... See full document

... some fixed point theorems in the framework of such ...apply successive approximations method to find a solution for a Volterra type integral equation with high ... See full document

... The convergence properties of new types of approximating curves for fixed point problems are investigated relying on the graph ...involving fixed- point ... See full document

... coincidence point for two self maps, satisfying generalized weak contractive condition, under strict contractions in symmetric ...the convergence for modified Mann Iteration and Ishikawa ...common ... See full document

... Based on Proposition , one can develop essentially the same techniques that have been indicated above for the periodic problem (), (). The main difference in the proofs is that, in addition to guaranteeing that the ... See full document

... hierarchical fixed point problems and variational inequalities, ...hierarchical fixed points problems and variational inequalities, Mathematical and Computer Modelling, 52(9) (2010), ... See full document

... Conclusion In this work, we applied successive approximations method to solve fluid structure interaction problem.. This method gives good results when the displacement is small.[r] ... See full document

... The fixed point theorem, generally known as the Banach contraction principle, appeared in explicit form in Banach’s thesis in 1922 [1], where it was used to establish the existence of a solution for an ... See full document

... 1. Introduction. Iterations processes are powerful tools for solving both differen- tial and integral equations in a complete metric space. One of the generalizations of the Picard iterations scheme consists of iterations ... See full document