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 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.
Weaker convergence conditions for the secant method
We use tighter majorizing sequences than in earlier studies to provide a semilocal convergence analysis for the secant method. Our sufficient convergence conditions are also weaker. Numerical examples are provided where earlier conditions do not hold but for which the new conditions are satisfied.
Wiener--Hopf equations technique for general variational inequalities involving relaxed monotone mappings and nonexpansive mappings.