[PDF] Top 20 Curso Monitor en Prevención de Riesgos

... Proof It is easy to know that E = C() is a Banach space with a maximum norm · and it is also a lattice. Let P = {u ∈ E | u(t) ≥ , ∀t ∈ I} and P be a normal cone in E. It is well known (see [, ]) that ... See full document

... fixed point theorem of nonlinear operators in an ordered Banach space by using topological methods and partial ordered methods (see [–] and references ...fixed point theorem in ... See full document

... the fixed point to a class of multivalued maps which satisfy certain ...positive fixed point has been discussed ...positive fixed points for a class of convex operators and give ... See full document

... monotone operators were introduced by Guo and Lakshmikantham in 1 in ...of operators in Banach spaces and obtained a lot of interesting and important ...uniqueness theorems of positive ... See full document

... Fixed point theorems for nonlinear operators on partially ordered Banach spaces have many applications in nonlinear equations and many other subjects ...of ... See full document

... This states that a non-expansive self-mapping of bounded, closed and convex subset possessing normal structure in a reflexive Banach space has a fixed point... The interest in this resul[r] ... See full document

... 1922, Banach contraction mapping principle, considered as one of the cor- nerstones of the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested ... See full document

... condensing operators and 1-set-contraction operators, we give the definition of convex-power 1-set-contrac- tion operators in Banach spaces and study the existence of fixed ... See full document

... on fixed point theorems have been extended to cone metric spaces see, ...in ordered abstract spaces, existence of some fixed point theorems is presented and ... See full document

... for all x, y ∈ D(T ). They showed a fixed point theorem and an ergodic theorem for such a mapping. Clearly, a nonexpansive mapping is a -hybrid mapping. In , Aoyama and Kohsaka [] also introduced the concept ... See full document

... Whereas our interest lies in ensuring the existence of common fixed points for mul- tivalued mappings in ordered Banach spaces, we will not rule out the possibility that the involved operators ... See full document

... Let t be a single-valued selfmapping on a metric space (X,d). A fixed point of t is said to be contractive (cf. [9]) if all Picard iteratives of t converge to this fixed point. A selfmapping t ... See full document

... Generalization of the above principle has been a heavily investigated branch of research (see, for example, [8-10]). In particular, there has been a number of studies involving altering distance functions. There are ... See full document

... Theorem 3.1. Let M be a nonempty closed subset of a complete metric space (X,d), and let f : M → M be a singlevalued mapping, and J : M → CL(M) a generalized (φ,f )- contractive type multivalued mapping. Suppose that f M ... See full document

... latter condition is related to a condition that was originally introduced by Petryshyn 1 for single-valued operators, in order to prove existence of fixed points. However, in our case, the condition is used ... See full document

... Definition . (Bhaskar and Lakshmikantham []) Let (X, ≤ ) be a partially ordered set and F : X × X → X. The mapping F is said to have the mixed monotone property if F is monotone non-decreasing in its first ... See full document

... metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ...such spaces, we ... See full document

... metric spaces over Banach algebras as well as the concept of ordered contractive mappings that differ from the known contractive mappings, and present sev- eral fixed point results of such ... See full document

... of ordered metric spaces with respect to some ordered vector spaces, which is an extension of the normal metric ...of ordered metric spaces and provide several fixed point ... See full document

... We introduce a new nonlinear mapping similar to the nonspreading mapping which is defined by Kohsaka and Takahashi (Arch. Math. 91:166-177, 2008). We prove fixed point theorems for such a mapping without the ... See full document