On the convergence of the three-step iteration process in the class of quasi-contractive operators.
On the Converse of Caristi's Fixed Point Theorem
Let X be a nonempty set of cardinality at most and T be a selfmap of X. Our main theorem says that if each periodic point of T is a fixed point under T, and T has a fixed point, then there exist a metric d on X and a lower semicontinuous map ϕ :X→ ℝ ₊ such that d(x,Tx) ≤ ϕ(x) - ϕ(Tx) for all x∈ X, and (X,d) is separable. Assuming CH (the Continuum Hypothesis), we deduce that (X,d) is compact.
On the covering dimension of the fixed point set of certain multifunctions
We study the covering dimension of the fixed point set of lower semicontinuous multifunctions of which many values can be non-closed or non-convex. An application to variational inequalities is presented.
On the equivalence of Mann and Ishikawa iteration methods.
On the existence and convergence of approximate solutions for equilibrium problems in Banach spaces.
On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces.
On the existence of a maximal element of multivalued mappings in -spaces.
On the existence of a solution for nonlinear operator equations in Fréchet spaces
On the existence of bounded continuous solution of Hammerstein integral equation
On the existence of solution of the equation and a generalized coincidence degree theory. I.
On the existence of solution of the equation and a generalized coincidence degree theory. II.
On the existence of solutions for a higher order differential inclusion without convexity.
On the existence of solutions of nonlinear infinite systems of parabolic differential-functional equations.
On the existence of solutions to some nonlinear integrodifferential equations with delays.
On the existence of the price equilibrium by different methods
We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.
On the existence of unique common fixed points for certain classes of weakly compatible maps in normed linear space.
On the existence of ɛ-fixed points
In this paper we prove some approximate fixed point theorems which extend, in a broad sense, analogous results obtained by Brânzei, Morgan, Scalzo and Tijs in 2003. By assuming also the weak demiclosedness property we state two fixed point theorems. Moreover, we study the existence of ɛ-Nash equilibria.
On the existence result for system of generalized strong vector quasiequilibrium problems.
On the existence theorems of Kantorovich, Miranda and Borsuk.
On the fixed point index of non-compact mappings