Fixed-Point Theorems for Multivalued Operator Matrix Under Weak Topology with an Application

Existence results for nonlinear coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type

“…The solvability of quadratic integral equations has been established in many papers; see, for example, [24,25]. More recently, in 2019, Jeribi et al [21] investigated the solvability of the following coupled system of Chandrasekhar functional integral equations:…”

“…[17] to model the process of radiative transfer. From this date onward, this type has attracted a lot of attention from many researchers [18][19][20][21].…”

Leray Schauder Type Fixed Point Theorems in RWC-Banach Algebras and Application to Chandrasekhar Integral Equations

“…In [19], a mixed method combines the contraction principal and the Schauder fixed point theorem was used in order to resolve (1.1). Subsequently, many extensions and development of this method in the strong and the weak topologies are developped, see [8,12,13,24]. Because the weak topology represent a natural framework of different applied problems, and since the sequential weak continuity property of the product of two sequentially weakly continuous operators is not always conserved, Ben Amar et al in [8] have introduced a new class of Banach algebras satisfying certain sequential condition, called condition (P).…”

Leray–Schauder Fixed Point Theorems for Block Operator Matrix with an Application

“…In the above quoted works, the assumptions that I − A or I − D are invertible play a fundamental role in the arguments. Jeribi et al, in [8], were interested in studying the case when I − A is not injective and established some fixed point theorems for operator (1), involving multivalued maps acting on Banach spaces. is way, their results were formulated in terms of weak sequential continuity and the technique of De Blasi measure of weak noncompactness.…”