[PDF] Top 20 Fixed point results and their applications to Markov processes

... p ∈ ᏼ . This result implies that ᏼ is a closed subset of ( ᏹ ,ρ). 4.2. Existence results for invariant measures of a Markov process. Let S = (S, +) be a commutative groupoid. For instance, S can be a set of ... See full document

... In this paper, we obtain a unique common coupled fixed point theorem by using ( ψ , α , β )-contraction in ordered partial metric spaces. We give an application to integral equations as well as homotopy theory. ... See full document

... fixed point results are given even if F does not satisfy all conditions ...interesting results concerning coincidence and common fixed points for four mappings satisfying certain F-contraction type ... See full document

... pivotal results of nonlinear analysis, which asserts that every contraction mapping defined on a complete metric space (M, d) to itself admits a unique fixed ...fixed point result in generalized metric spaces ... See full document

... In this paper, we introduce a new type of a generalized-( α , ψ )-Meir-Keeler contractive mapping and establish some interesting theorems on the existence of fixed points for such mappings via admissible mappings. ... See full document

... [–]). Fixed point theorems have applications not only in various branches of mathematics but also in economics, chemistry, biology, computer science, engineering, and other ...fixed point ... See full document

... Abstract. The purpose of this paper is to prove new common fixed point theorems for commuting mappings. We also deduce new classes of k-set contraction mappings and guarantee the existence of their ... See full document

... common fixed point theorems for Caristi type ...some results on the existence of common fixed points for a Banach operator pair from the set of best ...Our results of Section 3 extend ... See full document

... ABSTRACT A common fixed point theorem using EA-property for four weakly compatible maps is obtained in the setting of Gmetric spaces without exploiting the notion of continuity.. Our res[r] ... See full document

... some fixed-point results for single-valued ϕ-contractions on ordered and complete gauge ...recent results in the literature. As an application, existence results for some integral ... See full document

... In 2008, Suzuki [3] introduced a new method on the problem and the method was further extended by some authors; see, for example, [4-7]. The following result was proved in [8]. Theorem 1.3. Let (X, d) be a complete ... See full document

... fixed point theorems require a space that is complete in some sense. Fixed point theorems based on the metric approach such as the celebrated Banach contraction principle and its numerous extensions ... See full document

... In this paper, we study the existence and uniqueness of fixed points for a class of self-mappings satisfying certain rational expressions on closed, bounded and convex subsets with normal structures in reflexive Banach ... See full document

... about fixed points of expansive mapping was initiated by Machuca see ...discussed fixed points for other forms of expansive mapping see ...the results about fixed point theory, Zhang ... See full document

... behavior of a stable solution. First order behavior is investigated in Lemma 3.3, and these results are then used in Theorem 3.4 to express solutions near the stable manifold in the required linear form. Theorem ... See full document

... the fixed point theory yields result of best approximation and best approxi- mation yields the variational inequality ...yields fixed point theory. It is also shown that the fixed ... See full document

... recent results on a specific class of Markov process: the Piecewise Deterministic Markov Processes ...these processes and give some general ...better results can be proved, ... See full document

... Hussain and Khamsi [] and Nicolae [] proved the following results in metric spaces. Theorem  ([]) Let M be a bounded metric space. Assume that there exists a convexity structure F which is compact and T ... See full document

... the fixed point method to prove the Hyers-Ulam-Rassias stability of the functional equation ...the fixed point method for studying the stability problems of ...the fixed point ... See full document

... By setting px, y px in Theorem 3.5, we have the following: COROLLARY :}.6 Let X,.T’ be a probabilistic quasi-metric space and let S and T be two commuting self-mappings of X.. If these c[r] ... See full document