Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in Banach space.
Weak and strong convergence of common fixed points for asymptotically quasi-nonexpansive type mappings in Banach spaces
Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings.
Weak and strong convergence of multistep iteration for finite family of asymptotically nonexpansive mappings.
Weak and strong convergence of projection methods in nonreflexive Banach spaces
Weak and strong convergence theorems for asymptotically strict pseudocontractive mappings in the intermediate sense.
Weak and strong convergence theorems for equilibrium problems and countable strict pseudocontractions mappings in Hilbert space.
Weak and strong convergence theorems for nonexpansive mappings in Banach spaces.
Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces.
Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces.
Weak and strong convergence theorems of an implicit iteration process for a countable family of nonexpansive mappings.
Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings
The purpose of this paper is to establish some weak and strong convergence theorems of modified three-step iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper generalize, improve and unify a few results due to Chang [1], Liu and Kang [5], Osilike and Aniagbosor [7], Rhoades [8] and Schu [9], [10] and others. An example is included to demonstrate that our results are sharp....
Weak conditions for the convergence of iterations to solutions of equations on partially ordered topological spaces.
Weak contractions, common fixed points, and invariant approximations.
Weak convergence of an iterative sequence for accretive operators in Banach spaces.
Weak convergence theorem by an extragradient method for variational inequality, equilibrium and fixed point problems.
Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces.
Weak convergence theorems for a system of mixed equilibrium problems and nonspreading mappings in a Hilbert space.
Weak convergence theorems of three iterative methods for strictly pseudocontractive mappings of Browder-Petryshyn type.
Weak linking theorems and Schrödinger equations with critical Sobolev exponent
In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais–Smale sequences of a strongly indefinite functional. The abstract result will be used to study the semilinear Schrödinger equation , where are periodic in for and 0 is in a gap of the spectrum of ; . If for an appropriate constant , we show that this equation has a nontrivial solution.