This is the first book to tackle the topological fixed point theory for block operator matrices
with nonlinear entries in Banach spaces and algebras. The authors present several …

In this paper, we establish some new variants of Leray–Schauder‐type fixed point theorems
for a 2× 2 block operator matrix defined on nonempty, closed, and convex subsets Ω of …

Using the technique of measures of weak non-compactness we obtain the existence of fixed
points of a 2× 2 block operator matrix involving nonlinear maps in non-separable Banach …

In the present paper, we establish some fixed-point theorems for a 2 * 2 2× 2 block operator
matrix involving multivalued maps acting on Banach spaces. These results are formulated in …

This paper presents new fixed point theorems for 2× 2 block operator matrix with countably
condensing or countably 𝓓-set-contraction multi-valued inputs. Our theory will then be used …

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 …

Making use of the Boyd-Wong fixed point theorem, we establish a new existence and
uniqueness result and an approximation process of the fixed point for the product of two …

This article is devoted to investigating the existence of solutions to a coupled system of
ordinary inclusions at resonance in suitable Banach algebras. We convert the system of …

This paper is devoted to the study of a coupled system within fractional integral equations in
suitable Banach algebra. In particular, we are concerned with a quadratic integral equations …

In this paper, a general hybrid fixed point theorem for the contractive mappings in
generalized Banach spaces is proved via measure of weak non-compactness and it is …