The purpose of this short paper is to study a simple differential equation of the advantage type, see Eq. (1). Such equations appear in several branches of applied mathematics, for example, see [ 1 ] for an application in probability. In this paper and for the simple type of equation considered, we show existence of a solution on any interval [0, T], where T is any positive finite constant, and...

In this paper, we establish sufficient conditions for the existence and nonexistence of positive solutions to the following nonlinear fractional differential system ⎪⎪⎨ ⎪⎪⎩ Dαu(t)+a(t) f (t,u,v) = 0 in (0,1) , Dβ v(t)+b(t)g(t,u,v) = 0 in (0,1) , u(0) = 0, u(1) = 0, u′(0) = 0, v(0) = 0, v(1) = 0, v′(0) = 0, (P) where 2 < α ,β 3 , a,b ∈ C ((0,1) , [0,+∞)) and the functions f ,g belong to C ([0,1]...

We have investigated the existence and uniqueness solutions of the nonlinear fractional differential equation of an arbitrary order with integral boundary condition. The result is an application of the Schauder fixed point theorem and the Banach contraction principle.

Let X be a Banach space, K a non-empty closed subset of X and let T : K → X be a non-self almost contraction. The main result of this paper shows that if T has the so called property (M) and satisfies Rothe’s boundary condition, i.e., maps ∂K (the boundary of K) into K, then T has a fixed point in K. This theorem generalizes several fixed point theorems for non-self mappings and also extends se...

In this paper we have considered the question of the existence of the solution of a pair of coupled ordinary differential equations depending on a parameters. By using a corollary of the SchauderTychonoff fixed point theorem, and some hard analysis needed to cover essentially the range of s near s=O we were able to show that all the conditions for the theorem could be fulfilled. Hence existence...

The main result is a fixed point theorem for compositions of chain faithful mttltifunctions (Corollary 2.3). The theorem is then applied to get sufficient conditions for the fixed point property of the product of two partially ordered sets. For the Special Issue on the NIH Conference on Universal Algebra & Lattice Theory

In this paper, following [W.A. Kirk, P.S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory. 4 (2003) 79-89], we give a fixed point result for cyclic weak φ-contractions on partial metric space. A Maia type fixed point theorem for cyclic weak φ-contractions is also given.

In this paper, we consider the convergence of three-step fixed point iterative processes for multivalued nonexpansive mapping, under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to a fixed point of the multivalued nonexpansive mapping. Our results extend and improve some recent results. Mathematics Subject Classification: 47H09, 47H10, ...

In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space using the joint common limit in the range property of mappings called (JCLR) property. An example is also furnished which demonstrates the validity of main result. We also extend our main result to two finite families of self mappings. Our results improve and generalize results of...

Recently, there has been renewed interest about incomplete security markets. Hart (1975) provided an example of nonexistence of competitive equilibria for incomplete real securities, which are claims to commodity bundles. Given this finding, Duffie and Shafer (1985, 1986a, b) prove generic existence of competitive equilibria of incomplete real security markets. Husseini et al. (1990) Geanakoplo...