A remark on Gwinner's existence theorem on variational inequality problem.
A remark on Rhoades fixed point theorem for non-self mappings.
A remark on the approximate fixed-point property.
A remark on the minimal displacement problem in spaces uniformly rotund in every direction
We give an example of uniformly rotund in every direction space for which the minimal displacement characteristic is maximal.
A remark to the paper “On condensing discrete dynamical systems”
In the paper a new proof of Lemma 11 in the above-mentioned paper is given. Its original proof was based on Theorem 3 which has been shown to be incorrect.
A renorming of , rare but with the fixed-point property.
A result on best approximation in -normed spaces
We study best approximation in -normed spaces via a general common fixed point principle. Our results unify and extend some known results of Carbone [ca:pt], Dotson [do:bs], Jungck and Sessa [ju:at], Singh [si:at] and many of others.
A result on segmenting Jungck–Mann iterates
In this paper, following the concepts in [5, 7], we shall establish a convergence result in a uniformly convex Banach space using the Jungck–Mann iteration process introduced by Singh et al [13] and a certain general contractive condition. The authors of [13] established various stability results for a pair of nonself-mappings for both Jungck and Jungck–Mann iteration processes. Our result is a generalization and extension of that of [7] and its corollaries. It is also an improvement on the result...
A sequential iteration algorithm with non-monotoneous behaviour in the method of projections onto convex sets
The method of projections onto convex sets to find a point in the intersection of a finite number of closed convex sets in a Euclidean space, may lead to slow convergence of the constructed sequence when that sequence enters some narrow “corridor” between two or more convex sets. A way to leave such corridor consists in taking a big step at different moments during the iteration, because in that way the monotoneous behaviour that is responsible for the slow convergence may be interrupted. In this...
A simple regularization method for the ill-posed evolution equation
The nonhomogeneous backward Cauchy problem , where is a positive self-adjoint unbounded operator which has continuous spectrum and is a given function being given is regularized by the well-posed problem. New error estimates of the regularized solution are obtained. This work extends earlier results by N. Boussetila and by M. Denche and S. Djezzar.
A singular Gierer—Meinhardt system of elliptic equations
A stochastic version of Fan's best approximation theorem.
A study of variational inequalities for set-valued mappings.
A theorem of Borsuk-Ulam type for multifunctions
A theorem of Meir-Keeler type revisited.
A Theorem of the Closed Graph Type.
A Theorem On Fixed Points In Locally Convex Spaces
A theorem on many fixed points for nonlinear operator.
A theorem on the common fixed point in locally convex spaces
A third order boundary value problem subject to nonlinear boundary conditions
Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem. The boundary conditions that we study are of nonlocal type, involve Stieltjes integrals and are allowed to be nonlinear.