Some fixed point theorems in Banach spaces
Some fixed point theorems in generating spaces of quasi-metric family
The aim of this paper is to introduce the concepts of compatible mappings and compatible mappings of type in non-Archimedean Menger probabilistic normed spaces and to study the existence problems of common fixed points for compatible mappings of type , also, we give an applications by using the main theorems.
Some fixed point theorems in intuitionistic fuzzy -normed linear spaces.
Some fixed point theorems in locally convex spaces and applications to differential and integral equations
Some fixed point theorems in logarithmic convex structures
Some fixed point theorems in metric and 2-metric spaces.
Some fixed point theorems in metric and Banach spaces
Some fixed point theorems in metric spaces by altering distances
A generalization is obtained for some of the fixed point theorems of Khan, Swaleh and Sessa, Pathak and Rekha Sharma, and Sastry and Babu for a self-map on a metric space, which involve the idea of alteration of distances between points.
Some fixed point theorems with applications to best simultaneous approximations.
Some fixed points theorems for multi-valued weakly uniform increasing operators
Some fixed points theorems in generalized -metric spaces.
Some functions of eigenvalues of normal operator
Kellogg's iterations in the eigenvalue problem are discussed with respect to the boundary spectrum of a linear normal operator.
Some generalization of Schauder's fixed point theorem with respect to paranormed space
Some generalization of weighted norm inequalities for certain class of integral operators
Some generalizations of Kadison's theorem: a survey.
Motivated by a well-known result of Kadison that describes surjective isometries of the space of compact and the space of bounded operators on a Hilbert space, in this paper we investigate the structure of surjective isometries on the space of compact and on the space of bounded operators between Banach spaces. We give an example to show that isometries in general need not be of the canonical form. As an application of our study of the group of isometries, we consider the algebraic reflexivity of...
Some generalizations of the hypersingular integral operators
Some generic properties of nonlinear second order diffusional type problem
We are interested of the Newton type mixed problem for the general second order semilinear evolution equation. Applying Nikolskij’s decomposition theorem and general Fredholm operator theory results, the present paper yields sufficient conditions for generic properties, surjectivity and bifurcation sets of the given problem.
Some geometric properties concerning fixed point theory.
The Fixed Point Theory for nonexpansive mappings is strongly based upon the geometry of the ambient Banach space. In section 1 we state the role which is played by the multidimensional convexity and smoothness in this theory. In section 2 we study the computation of the normal structure coefficient in finite dimensional lp-spaces and its connection with several classic geometric problems.
Some global results for nonlinear fourth order eigenvalue problems
In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial solutions bifurcating from the line of trivial solutions. These global continua have properties similar to those found in Rabinowitz and Berestycki well-known global bifurcation theorems.
Some global results for nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition
We consider nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition. We investigate the structure of the set of bifurcation points, and study the behavior of two families of continua of nontrivial solutions of this problem contained in the classes of functions having oscillation properties of the eigenfunctions of the corresponding linear problem, and bifurcating from the points and intervals of the line of trivial solutions.