The paper is devoted to prove a few fixed point theorems for operators acting in WC-Banach
algebras and satisfying some conditions expressed in terms of a generalized Lipschitz …

We introduce a class of measures of noncompactness in Banach algebras satisfying certain
condition and we prove a fixed point theorem for the product of two operators being …

In this manuscript, by means of the technique of measures of weak noncompactness, we
establish a generalized form of fixed point theorems for a 2 x 2 block operator matrix …

Regarding the Hausdorff measure of noncompactness, we provide and demonstrate a
generalization of Petryshyn's fixed point theorem in Banach algebras. Comparing this …

In this paper, we study the existence of the solutions of a class of functional integral
equations which contain a lot of classical nonlinear integral equations as special cases. We …

We propose a new notion of contraction mappings for two class of functions involving
measure of noncompactness in Banach space. In this regard we present some theory and …

We introduce a new class of Banach algebras satisfying a certain sequential condition (P)
and we prove a new variant of fixed-point theorems for the sum and the product of nonlinear …

In this research, we analyze the existence of solution for some nonlinear functional integral
equations using the techniques of measures of noncompactness and the Petryshyn's fixed …

In this paper, we give some generalization of Darbo's fixed point theorem related to the
measure of noncompactness, and present some results on the existence of coupled fixed …

We propose a new notion of contraction mappings for two class of functions involving
measure of noncompactness in Banach space and derive some basic Darbo type fixed and …