This paper deals with the existence of solutions for Riemann-Liouville fractional order boundary value problem infinite-point conditions posed on half-line via concept a family measures noncompactness in space functions C?,?(R+) satisfying H?lder condition and generalized Darbo fixed point theorem.

We prove an existence theorem for a singular quadratic integral equation with supremum. The quadratic integral equation studied below contains as a special case numerous integral equations encountered in the theory of radiative transfer and in the kinetic theory of gases. We show that the singular quadratic integral equations with supremum has a monotonic solution in C[0, 1]. The concept of mea...

We discuss the existence of solutions for second-order impulsive differential equation with nonlocal conditions in Banach spaces. Our approach is based on generalization Schauder fixed pointprinciple that Darbo point theorem. An example also presented to illustration.

Existence of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et al. [On orthogonal sets and Banach fixed Point theorem, Fixed Point Theory, in press]. In this paper, we introduce the notion of the strongly orthogonal sets and prove a genuine generalization of Banach' fixed point theorem and Walter's theorem. Also, we give an example showing that our main theor...

In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained.

The current article discusses the existence of monotonic discontinuous solutions for general nonlinear quadratic Volterra-Urysohn functional-integral equations in Orlicz spaces E? when function ? satisfies ?2-condition. case Lebesgue Lp (p > 1) are also examined. We use arguments measure noncompactness with Darbo fixed point theorem to prove our results.

In this paper, we prove theorems on the existence of solutions in Lp(R+), 1 ? p < ?, for some functional integral equations. The basic tool used proof is fixed point theorem due to Darbo with respect so called measure noncompactness. obtained results generalize and extend several ones earlier many papers monographs. An example which shows applicability our also included.

This article is entirely devoted to the application of measure noncompactness defined in Holder space. Here emphasis on study nonlinear functional integral equation with changed arguments. Precisely, existence a solution obtained by employing Darbo fixed point theorem under certain hypotheses. Finally, we provide tangible example which supports our results.

Darbo fixed point theorem is a powerful tool which used in many fields mathematics. Because of this feature, generalizations and its relations with other subjects have been investigated. Here we introduce generalization an F - contraction type mapping define new by using both function lasses uniformly convergent sequences functions examine some properties. Afterward, show that the contraction, ...