On the existence of the solutions for some nonlinear Volterra integral equations

İ Özdemir, Ü Çakan, B İlhan - Abstract and Applied Analysis, 2013 - Wiley Online Library
We present a theorem which gives sufficient conditions for existence of at least one solution
for some nonlinear functional integral equations in the space of continuous functions on the …

[图书][B] Fixed point theorems with applications

K Mebarki, S Georgiev, S Djebali, K Zennir - 2023 - taylorfrancis.com
As a very important part of nonlinear analysis, fixed point theory plays a key role in
solvability of many complex systems from mathematics applied to chemical reactors, neutron …

Characterization of compact operators between certain BK spaces

E Malkowsky - Filomat, 2013 - JSTOR
We give a survey of the known results concerning the sets 𝑐₀ (Λ), 𝑐 (Λ) and 𝑐∞(Λ)
including their basic topological properties, their first and second dual spaces, and the …

Fixed point theory for 1-set contractions: a survey

S Djebali - … Mathematics in Tunisia: International Conference on …, 2015 - Springer
In this report, we first review some classical results concerning the fixed point theory for an
important class of mappings for which the Banach contraction principle fails, namely …

Construction of compact-integral operators on and with application in the study of functional integro-differential equations

A Allahyari, H Amiri Kayvanloo… - … Journal of Nonlinear …, 2024 - ijnaa.semnan.ac.ir
In this brief note, we present a fixed point theorem in the Fr $\acute {e} $ chet space. Also we
study a new family of measures of noncompactness on $ C^\infty (\Bbb {R} _+) $ and $ C^ n …

Metric fixed point theory for nonexpansive mappings defined on unbounded sets

MA Alghamdi, WA Kirk, N Shahzad - Fixed Point Theory and Applications, 2014 - Springer
It is standard practice in metric fixed point theory to reduce fixed point questions for
mappings defined on unbounded sets to the bounded case. Many of these results are …

非扩张映射的不动点定理

尹婷婷, 胡长松, 吴智宇 - 数学物理学报, 2013 - manu45.magtech.com.cn
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[PDF][PDF] Construction of compact-integral operators on C∞(R+) and C n (R+) with application in the study of functional integro-differential equations

A Allahyaria, HA Kayvanloob… - Int. J. Nonlinear …, 2024 - journals.semnan.ac.ir
In this brief note, we present a fixed point theorem in the Fréchet space. Also we study a new
family of measures of noncompactness on C∞(R+) and Cn (R+) and we investigate the …

Fixed Point Theorems for Multi-valued Nonexpansive Mappings in Banach Spaces

Z Bounegab, S Djebali - Mediterranean Journal of Mathematics, 2019 - Springer
In this paper, we present new fixed point theorems for multivalued nonexpansive mappings.
Since Banach space can have any geometric structure, we consider mappings such that …

[PDF][PDF] ON A NEW FIXED POINT THEOREM IN HILBERT ALGEBRAS SPACES AND APPLICATION

F CHOUIA, T MOUSSAOUI - Electronic Journal of Mathematical …, 2017 - journals.ekb.eg
ON A NEW FIXED POINT THEOREM IN HILBERT ALGEBRAS SPACES AND APPLICATION
1. Introduction Nonlinear integral equations are importa Page 1 Electronic Journal of …