An existence theorem for the Urysohn integral equation in Banach spaces
An explicit construction of sunny nonexpansive retractions in Banach spaces.
An extension of a best approximation theorem.
An extension of A. Ostrowski's Theorem on the round-off stability of iterations.
An extension of a theorem of Sahab, Khan, and Sessa.
An extension of Fan's fixed point theorem and equilibrium point of an abstract economy
An extension of Gregus fixed point theorem.
An extension of Horn's theorem for a space of locally integrable functions.
An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings.
An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings
We introduce an iterative sequence for finding the common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for tree inverse-strongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply to finding solutions of a general system of variational inequality and a zero of a maximal monotone...
An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems
In this paper, we introduce a new iterative process for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for an α-inverse-strongly-monotone, by combining an modified extragradient scheme with the viscosity approximation method. We prove a strong convergence theorem for the sequences generated by this new iterative process.
An extragradient method for fixed point problems and variational inequality problems.
An extragradient method for mixed equilibrium problems and fixed point problems.
An iff fixed point criterion for continuous self-mappings on a complete metric space. (Summary).
An iff fixed point criterion for continuous self-mappings on a complete metric space.
An implicit hierarchical fixed-point approach to general variational inequalities in Hilbert spaces.
An implicit iteration method for variational inequalities over the set of common fixed points for a finite family of nonexpansive mappings in Hilbert spaces.
An implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in Banach spaces.
An integral theorem and its applications to coincidence theorems
An interplay between the weak form of Peano's theorem and structural aspects of Banach spaces
We establish some results that concern the Cauchy-Peano problem in Banach spaces. We first prove that a Banach space contains a nontrivial separable quotient iff its dual admits a weak*-transfinite Schauder frame. We then use this to recover some previous results on quotient spaces. In particular, by applying a recent result of Hájek-Johanis, we find a new perspective for proving the failure of the weak form of Peano's theorem in general Banach spaces. Next, we study a kind of algebraic genericity...