Meir-Keeler condensing operators and applications

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 theorems involving sum as well product two operators are also presented. These generalize on lines Krasnoselskii Dhage. An application is given to nonlinear linearly perturbed integral equations example