A basic result in semigroup theory states that every C0-semigroup is quasi-contractive with respect to some appropriately chosen equivalent norm. This paper contains a counterpart of this well-known fact. Namely, by examining the convergence of the Trotter-type formula (e t n P ) (where P denotes a bounded projection), we prove that whenever the generator A is unbounded it is possible to introd...

In this paper, tripled coincidence points of mappings satisfying some nonlinear contractive conditions in the framework of partially ordered Gb-metric spaces are obtained. Our results extend the results of Aydi et al. (Fixed Point Theory Appl., 2012:101, 2012, doi:10.1186/1687-1812-2012-101). Moreover, some examples of the main result are given. Finally, some tripled coincidence point results f...

Recently, Samet et al [24] introduced the concept of α-ψ contractive mappings and studied the existence of fixed points for such mappings. In this article, we prove three fixed point theorems for this class of operators in complete metric spaces. Our results extend the results in [24] and well known fixed point theorems due to Banach, Kannan, Chatterjea, Zamfirescu, Berinde, Suzuki, Ćirić, Niet...

A systematic framework for analyzing dynamical attributes of games has not been well-studied except the special class potential or near-potential games. In particular, existing results have shortcomings in determining asymptotic behavior a given dynamics designated game. Although there is large body literature on developing convergent to Nash equilibrium (NE) game, general, an underlying may be...

This note considers the problem of stability analysis of discrete–time homogeneous dynamics, i.e., positively homogeneous of the first degree dynamics. An example of a homogeneous and even continuous dynamics that is globally exponentially stable and that does not admit any λ–contractive proper C–set is presented. This motivates us to propose a natural generalization of this concept, namely, (k...

A set of np ≥2 -cyclic and either continuous or contractive self-mappings, with at least one of them being contractive, which are defined on a set of subsets of a Banach space, are considered to build a composed self-mapping of interest. The existence and uniqueness of fixed points and the existence of best proximity points, in the case that the subsets do not intersect, of such composed mappin...

We establish a fixed point theorem for certain non-self mappings of contractive type which take a nonempty and closed subset of a complete metric space X into X.

The objective of this manuscript is to study the existence and uniqueness of fixed points for general multiplicative contractive condition of integral type. Our work generalizes and extends some well known results of the literature.

In this paper two fixed point theorems for two classes of multivalued contractive type mappings are established. The results presented in this paper improve and generalize some results in literatures. AMS Subject Classification: 54H25, 47H10