20 Result(s)
within
Mohamed-Aziz Taoudi
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Article
On the conjecture of Schauder
In this paper, we prove that every nonempty compact s-convex subset \((0<s\le 1)\) ( ...
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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...
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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...
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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...
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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...
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Article
On a resolvent approach for perturbed semigroups and application to \(L^1\) -neutron transport theory
We give new sufficient and practical conditions in terms of the generators ensuring the stability of the critical or the essential type of a perturbed ...
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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 \(T+S\) ...
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Chapter
Measures of Weak Noncompactness and Fixed Points
The interaction between measures of weak noncompactness and fixed point theory is really strong and fruitful. In particular, measures of weak noncompactness play a significant role in topological fixed point p...
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Article
On the Solvability of a Nonlinear Integro-Differential Equation on the Half-Axis
In this work, we combine the iterative techniques with fixed point theory to investigate the existence of absolutely continuous solutions to a class of nonlinear integro-differential equations. Existence resul...
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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...
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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...
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Article
Sadovskii-Krasnosel’skii type fixed point theorems in Banach spaces with application to evolution equations
In this work, we introduce the concept of a convex-power condensing map** \(T\) ...
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Article
Open AccessSome fixed point theorems for \((\alpha,\psi)\) -rational type contractive map**s
In this paper, we introduce the concept of ( α ...
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Article
On the existence of integrable solutions for a nonlinear quadratic integral equation
In this paper, we investigate the existence of integrable solution to a nonlinear integral equation, which includes many important integral and functional equations that arise in nonlinear analysis and its app...
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Article
Weakly Noncompact Fixed Point Results of the Schauder and the Krasnosel’skii Type
Invoking the technique of measures of weak noncompactness in Banach spaces, we establish some generalized fixed point results of the Schauder and Krasnoselskii type in the context that the involved operators a...
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Article
Some Common Fixed Point Results in Partially Ordered Metric Spaces for Generalized Rational Type Contraction Map**s
Some common fixed point results for generalized contractive map**s satisfying rational type expressions in the framework of partially ordered metric spaces are obtained. The results proved generalize and ext...
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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 + ...
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Article
Existence of Integrable Solutions of an Integral Equation of Hammerstein Type on an Unbounded Interval
In this paper we investigate the existence of integrable solutions of a nonlinear integral equation of Hammerstein type on an unbounded interval. Our analysis relies on a Krasnosel’skii type fixed point theore...
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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 ...
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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 ...
