[PDF] Top 20 Some results on a modified Mann iterative scheme in a reflexive Banach space

... convex Banach spaces, they proved that if C is nonempty, bounded, closed, and convex, then every asymptotically nonexpansive self-mapping T on C has a fixed ...of iterative schemes for such a class of ... See full document

... Fixed point problems of nonlinear operators, which include many important problems in nonlinear analysis and optimization such as the Nash equilibrium problem, variational inequalities, complementarity problems, vector ... See full document

... in an appropriate Banach space. Typical examples where such evolution equations occur can be found in the heat, wave or Schrödinger equations. If x(t) is dependent on t, then the above problem is reduced to ... See full document

... above results, Chen et al. [11] proposed the following two modified Mann iterations for nonexpansive semigroups {T(t) : 0 ≤ t < ∞ } and obtained the strong convergence theorems in a ... See full document

... composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach ...our results to a system of convex minimization problems in ... See full document

... the modified general iterative approximation methods for finding a common fixed point of nonexpansive semigroups which is a unique solution of some variational ...a reflexive Banach ... See full document

... real reflexive Banach space are investigated, existence of a fixed-point theorem for a general mapping acting in a Banach space and the obtained results are applied to study ... See full document

... the modified Mann iteration scheme for λ-strict pseudocontractions with respect to p in p-uniformly convex Banach spaces with uniformly G ateaux differentiable norm by using viscosity ... See full document

... its results are useful for the other studies. In , Mann [] introduced an iteration procedure for ap- proximating fixed points of a nonexpansive mapping T in a Hilbert ...convex Banach ... See full document

... Picard iterative process is an efficient method to study fixed points of α-contractive ...the space E is uniformly convex. The Krasnoselski-Mann iterative process is an efficient method for ... See full document

... convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L− Lipschitzian mappings in a real Banach ...include some very recent ... See full document

... smooth Banach spaces and studied their properties in ...presented some applications of the generalized projections to approx- imately solving variational inequalities and Von Neumann intersection problem in ... See full document

... Let C be a nonempty closed convex subset of E. C is said to have the fixed point property for nonexpansive mappings if every nonexpansive mapping of a bounded closed convex subset D of C has a fixed point in D. Let D be ... See full document

... Iterative methods for nonexpansive mappings have recently been applied to solve con- vex minimization problems (see, e.g., [1, 2] and the references therein). A typical prob- lem is to minimize a quadratic ... See full document

... the iterative scheme due to Agarwal et al. is faster than Mann and Ishikawa iterative ...SP iterative scheme converges faster than Mann, Ishikawa and Noor iterative ... See full document

... Hilbert space. Xu [22] also studied some control conditions of Halpern’s iterative sequence for finite nonexpansive mappings in Hilbert ...the results of O’Hara et ...a Banach ... See full document

... Motivated by Theorems . and ., Zeng [] gave another interesting results as follows. Theorem . [, Theorem .] Let D be a nonempty closed convex subset of E and T : D → D be a uniformly L-Lipschitz ... See full document

... MSSFP, 1.10 includes the SFP 1.5 as a special case, which does not reduced to 1.7, let alone 1.8. In this section, we will propose some new projection algorithms which solve the MSSFP 1.10 and which are the ... See full document

... solves some variational ...the Banach contraction principle. Theorem 1. (Banach [10]) Let (X, d) be a complete metric space and let f be a con- traction on X, ... See full document

... Let C be a subset of a Banach space E. Two mappings S, T : C → C are said to satisfy condition (A ) if there exists a nondecreasing function f : [, ∞) → [, ∞) with f () = , f (r) >  for all r ∈ (, ... See full document