In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: MSC: 47H09 47H10 34A12 Keywords: Measure of noncompactness Modulus of continuity Coupled fixed point System of integral equa...

In the present study, we work on the problem of the existence of positive solutions of fractional integral equations by means of measures of noncompactness in association with Darbo's fixed point theorem. To achieve the goal, we first establish new fixed point theorems using a new contractive condition of the measure of noncompactness in Banach spaces. By doing this we generalize Darbo's fixed ...

Motivated by the open question posed H. K. XU in [39] (Question 2:8), Belhadj, Ben Amar and Boumaiza introduced [5] concept of Meir-Keeler condensing operator for self-mappings a Banach space via an arbitrary measure weak noncompactness. In this paper, we introduce Meir- Keeler nonself-mappings noncompactness establish fixed point results under condition Leray-Schauder type. Some basic hybrid t...

The aim of the present paper is to extend classical fractal theory using condensing maps and generalized contractions semimetric spaces. Our method independent from approach Hutchinson: It based on Kuratowski measure noncompactness avoids completely Blaschke Completeness Theorem.

Abstract In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting measure of noncompactness in a Banach space. The results enlarge corresponding several authors. We present fascinating examples equations.