Compatible mappings and common fixed points “revisited”.
Compatible mappings of type (B) and common fixed point theorems in Saks spaces
In this paper we first introduce the concept of compatible mappings of type (B) and compare these mappings with compatible mappings and compatible mappings of type (A) in Saks spaces. In the sequel, we derive some relations between these mappings. Secondly, we prove a coincidence point theorem and common fixed point theorem for compatible mappings of type (B) in Saks spaces.
Compatible mappings of type (B) and common fixed point theorems of Greguš type
Compatible mappings of type (P) and fixed point theorems in metric spaces and probabilistic metric spaces.
Compatible mappings of type and weak compatibility in fuzzy metric spaces
The object of this paper is to establish a unique common fixed point theorem for six self-mappings satisfying a generalized contractive condition through compatibility of type and weak compatibility in a fuzzy metric space. It significantly generalizes the result of Singh and Jain [The Journal of Fuzzy Mathematics and Sharma [Fuzzy Sets and Systems . An example has been constructed in support of our main result. All the results presented in this paper are new.
Complementarities and the existence of strong Berge equilibrium
This paper studies the existence and the order structure of strong Berge equilibrium, a refinement of Nash equilibrium, for games with strategic complementarities à la strong Berge. It is shown that the equilibrium set is a nonempty complete lattice. Moreover, we provide a monotone comparative statics result such that the greatest and the lowest equilibria are increasing.
Complementarity problem for -monotone-type maps.
Completely generalized nonlinear variational inclusions for fuzzy mappings
In this paper, we introduce and study a new class of completely generalized nonlinear variational inclusions for fuzzy mappings and construct some new iterative algorithms. We prove the existence of solutions for this kind of completely generalized nonlinear variational inclusions and the convergence of iterative sequences generated by the algorithms.
Complex dynamical systems on bounded symmetric domains.
Complexification norms and estimates for polynomials.
Complexifications of real Banach spaces, polynomials and multilinear maps
We give a unified treatment of procedures for complexifying real Banach spaces. These include several approaches used in the past. We obtain best possible results for comparison of the norms of real polynomials and multilinear mappings with the norms of their complex extensions. These estimates provide generalizations and show sharpness of previously obtained inequalities.
Comportement d'itérations d'un opérateur de renormalisation
Composing infinitely differentiable functions.
Composite implicit general iterative process for a nonexpansive semigroup in Hilbert space.
Composition results for strongly summing and dominated multilinear operators
In this paper we prove some composition results for strongly summing and dominated operators. As an application we give necessary and sufficient conditions for a multilinear tensor product of multilinear operators to be strongly summing or dominated. Moreover, we show the failure of some possible n-linear versions of Grothendieck’s composition theorem in the case n ≥ 2 and give a new example of a 1-dominated, hence strongly 1-summing bilinear operator which is not weakly compact.
Computation of antieigenvalues.
Computation of topological degree in ordered Banach spaces with lattice structure and applications
Using the cone theory and the lattice structure, we establish some methods of computation of the topological degree for the nonlinear operators which are not assumed to be cone mappings. As applications, existence results of nontrivial solutions for singular Sturm-Liouville problems are given. The nonlinearity in the equations can take negative values and may be unbounded from below.
Computer-assisted proofs for fixed point problems in Sobolev spaces.
Concerning interior mapping theorem
Connections between some measures of non-compactness and associated operators.
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the δ-separation of the points of a set are studied in special classes of Banach spaces. These relations are applied to compare operators which are contractive for these measures.