Strong convergence theorems for nonexpansive semigroups without Bochner integrals.
Strong convergence theorems for strict pseudocontractions in uniformly convex Banach spaces.
Strong convergence theorems of a new general iterative process with Meir-Keeler contractions for a countable family of -strict pseudocontractions in -uniformly smooth Banach spaces.
Strong convergence theorems of a new hybrid projection method for finite family of two hemi-relatively nonexpansive mappings in a Banach space
In this paper, we prove strong convergence theorems of the hybrid projection algorithms for finite family of two hemi-relatively nonexpansive mappings in a Banach space. Using this result, we also discuss the resolvents of two maximal monotone operators in a Banach space. Our results modify and improve the recently ones announced by Plubtieng and Ungchittrakool [Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space, J. Approx. Theory 149 (2007),...
Strong convergence theorems of Cesàro mean iterations of nonexpansive mappings.
Strong convergence theorems of common fixed points for a family of quasi--nonexpansive mappings.
Strong convergence theorems of common fixed points for a pair of quasi-nonexpansive and asymptotically quasi-nonexpansive mappings
Strong convergence theorems of -strict pseudo-contractions in Hilbert spaces
Let be a nonempty closed convex subset of a real Hilbert space such that , a -strict pseudo-contraction for some such that . Consider the following iterative algorithm given by where is defined by , is the metric projection of onto , is a strongly positive linear bounded self-adjoint operator, is a contraction. It is proved that the sequence generated by the above iterative algorithm converges strongly to a fixed point of , which solves a variational inequality related...
Strong convergence theorems of modified Ishikawa iterations for countable hemi-relatively nonexpansive mappings in a Banach space.
Strong convergence theorems of modified Ishikawa iterative method for an infinite family of strict pseudocontractions in Banach spaces.
Strong convergence theorems of the CQ method for nonexpansive semigroups.
Strong convergence theorems of the Ishikawa process with errors for strictly pseudocontractive mapping of Browder-Petryshyn type in Banach spaces.
Strong convergence theorems on iterative methods for strictly pseudo-contractive mappings.
Strong convergence to common fixed points for countable families of asymptotically nonexpansive mappings and semigroups.
Strong convergence to common fixed points of a finite family of nonexpansive mappings.
Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings.
Strong convergence to common fixed points of nonexpansive mappings without commutativity assumption.
Surjectivity of an operator
The characteristic of noncompact convexity and random fixed point theorem for set-valued operators
Let be a measurable space, a Banach space whose characteristic of noncompact convexity is less than 1, a bounded closed convex subset of , the family of all compact convex subsets of We prove that a set-valued nonexpansive mapping has a fixed point. Furthermore, if is separable then we also prove that a set-valued nonexpansive operator has a random fixed point.
The coincidence index for fundamentally contractible multivalued maps with nonconvex values
We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given.