An integral theorem and its applications to coincidence theorems
An intermediate value theorem in ordered Banach spaces
We prove an intermediate value theorem for certain quasimonotone increasing functions in ordered Banach spaces, under the assumption that each nonempty order bounded chain has a supremum.
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...
An intersection theorem for set-valued mappings
Given a nonempty convex set in a locally convex Hausdorff topological vector space, a nonempty set and two set-valued mappings , we prove that under suitable conditions one can find an which is simultaneously a fixed point for and a common point for the family of values of . Applying our intersection theorem we establish a common fixed point theorem, a saddle point theorem, as well as existence results for the solutions of some equilibrium and complementarity problems.
An IntroduCtion into the Theory of Sequence Spaces and Measures of Noncompactness
An iteration for finding a common random fixed point.
An iteration method for nonexpansive mappings in Hilbert spaces.
An iteration process for nonlinear mappings in uniformly convex linear metric spaces
We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.
An Iteration Scheme for Boundary Value-Alternative Problems.
An iterative algorithm by viscosity approximation method for mixed equilibrium problems, variational inclusion and fixed point of an infinite family of pseudo-contractive mappings
The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusion problems for inverse strongly monotone mappings and the set of common fixed points for an infinite family of strictly pseudo-contractive mappings in the setting of Hilbert spaces. We prove the strong convergence theorem by using the viscosity approximation method for finding the common element of the above four...
An iterative algorithm combining viscosity method with parallel method for a generalized equilibrium problem and strict pseudocontractions.
An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces.
An iterative algorithm for two asymptotically pseudocontractive mappings.
An iterative algorithm of solution for quadratic minimization problem in Hilbert spaces.
An iterative algorithm on fixed points of relaxed Lipschitz operators.
An iterative approximation method for a countable family of nonexpansive mappings in Hilbert spaces.
An iterative method for an infinite family of nonexpansive mappings in Hilbert spaces.
An iterative method for generalized equilibrium problems, fixed point problems and variational inequality problems.
An iterative method for solving the generalized system of relaxed cocoercive quasivariational inclusions and fixed point problems of an infinite family of strictly pseudocontractive mappings.
An iterative method for variational inequality problems and fixed point problems in Hilbert spaces