12 Result(s)
within
Mohamed-Aziz Taoudi
Analysis
-
Article
On the conjecture of Schauder
In this paper, we prove that every nonempty compact s-convex subset \((0<s\le 1)\) ( ...
-
Article
Existence and uniqueness of fixed points for monotone operators in partially ordered Banach spaces and applications
In this paper, we employ partial order method, cone theory, and the techniques of measure of weak noncompactness to prove several new theorems on the existence and the uniqueness of fixed points or coupled fix...
-
Article
Random fixed point theorems under weak topology features and application to random integral equations with lack of compactness
We present several random fixed point theorems for random operators with deterministic or stochastic domains. The main assumptions of our results are formulated in terms of the weak topology and an axiomatic d...
-
Article
New Monch–Krasnosel’skii type fixed point theorems applied to solve neutral partial integrodifferential equations without compactness
In this paper, we show the existence of mild solutions for a class of neutral partial integrodifferential equations with lack of compactness. The results are obtained using noncompact resolvent operators and a...
-
Article
Existence results for some nonlocal partial integrodifferential equations without compactness or equicontinuity
In this work, we provide a new approach to address the solvability of a class of partial integrodifferential equations with nonlocal conditions and two linear parts, the first one being the generator of a stro...
-
Article
Krasnosel’skii-type fixed point theorems for convex-power condensing map**s in locally convex spaces
In this paper, we prove some fixed point theorems for the sum \(T+S\) ...
-
Article
Open AccessLeray-Schauder-type fixed point theorems in Banach algebras and application to quadratic integral equations
In this paper, we present new fixed point theorems in Banach algebras relative to the weak topology. Our fixed point results are obtained under Leray-Schauder-type boundary conditions. These results improve an...
-
Article
Open AccessFixed point theorems for multivalued map**s in ordered Banach spaces with application to integral inclusions
This paper provides new common fixed point theorems for pairs of multivalued and single-valued map**s operating between ordered Banach spaces. Our results lead to new existence theorems for a system of integ...
-
Article
Open AccessSome fixed point theorems for \((\alpha,\psi)\) -rational type contractive map**s
In this paper, we introduce the concept of ( α ...
-
Article
Open AccessKrasnosel’skii-type fixed point theorems with applications to Volterra integral equations
In this paper we present some fixed point results for the sum S + ...
-
Article
Open AccessFixed Point Theorems for ws-Compact Map**s in Banach Spaces
We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given ...
-
Article
Open AccessBrowder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces
We present some fixed point theorems for the sum of a weakly-strongly continuous map and a nonexpansive map on a Banach space ...
