In this paper, we consider the existence of countably many positive solutions for nonlinear singular boundary value problem on time scales. By using the fixed-point index theory and a new fixed-point theorem in cones, the sufficient conditions for the existence of countably many positive solutions are established.

this paper presents some results concerning the existence of solutions for a functional integral equation of volterra type in two variables, via measure of noncompactness. two examples are included to illustrate the main result.

In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. ...

In this paper, by means of τ -φ-concave (convex) operators, the existence of two positive fixed points for some nonlinear operators is considered. In particular, the fixed point theorems of the sum of a φ1-concave operator and a φ2-convex operator are obtained, our tools are based on the properties of cones and the fixed point theorem of cone expansion and compression. Our abstract results are ...

Using a fixed point theorem in cones, we obtain conditions that guarantee the existence and attractivity of the unique positive periodic solution for a discrete Lasota-Wazewska model.

In this paper we prove the existence of positive solutions for a class of second order semipositone singular three-point boundary value problems. The results are obtained by the use of a GuoKrasnoselskii’s fixed point theorem in cones.

In this paper, we show the existence of single and multiple positive solutions for the symmetry three-point boundary value problem under suitable conditions by using classical fixed point theorem in cones.

In this paper, we give a fixed point theorem for multivalued mappings in a cone b-metric space without the assumption of normality on cones and generalize some attractive results in recent literature. c ©2016 All rights reserved.

Using a fixed-point theorem in cones, we obtain sufficient conditions for the multiplicity of positive solutions for four-point boundary value problems of third-order impulsive differential equations with p-Laplacian.

We establish a general fixed point theorem for multivalued maps defined on cones in Banach spaces. Applications to single and multivalued equations are presented. 2000 Mathematics Subject Classification: 47H10, 45M20.