On the existence of solutions for a quadratic integral inclusion

2014 ◽  
Vol 34 (1) ◽  
Author(s):  
Aurelian Cernea
Keyword(s):  
Existence Of Solutions ◽  
Integral Inclusion ◽  
Quadratic Integral

scholarly journals On Chandrasekhar functional integral inclusion and Chandrasekhar quadratic integral equation via a nonlinear Urysohn–Stieltjes functional integral inclusion

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ahmed El-Sayed ◽  
Shorouk Al-Issa ◽  
Yasmin Omar
Keyword(s):  
Integral Equation ◽  
Existence Of Solutions ◽  
Functional Integral ◽  
Integral Inclusion ◽  
Quadratic Integral Equation ◽  
Quadratic Integral ◽  
Stieltjes Type

AbstractWe investigate the existence of solutions for a nonlinear integral inclusion of Urysohn–Stieltjes type. As applications, we give a Chandrasekhar quadratic integral equation and a nonlinear Chandrasekhar integral inclusion.

Solvability of a 2 x 2 block operator matrix of chandrasekhar type on a Bananch algebra

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5169-5175 ◽  
Author(s):  
H.H.G. Hashem
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Existence Of Solutions ◽  
Banach Algebras ◽  
Operator Matrix ◽  
Nonlinear Operators ◽  
Block Operator Matrix ◽  
Block Operator ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

In this paper, we study the existence of solutions for a system of quadratic integral equations of Chandrasekhar type by applying fixed point theorem of a 2 x 2 block operator matrix defined on a nonempty bounded closed convex subsets of Banach algebras where the entries are nonlinear operators.

scholarly journals On the Existence of the Solutions of a Fredholm Integral Equation with a Modified Argument in Hölder Spaces

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 522 ◽  
Author(s):  
Merve Temizer Ersoy ◽  
Hasan Furkan
Keyword(s):  
Integral Equation ◽  
Existence Of Solutions ◽  
Hölder Spaces ◽  
Fredholm Type ◽  
Relative Compactness ◽  
Quadratic Integral Equation ◽  
Quadratic Integral ◽  
Conclusion Section ◽  
The Given ◽  
Holder Spaces

This article concerns the entity of solutions of a quadratic integral equation of the Fredholm type with an altered argument, x ( t ) = p ( t ) + x ( t ) ∫ 0 1 k ( t , τ ) ( T x ) ( τ ) d τ , where p , k are given functions, T is the given operator satisfying conditions specified later and x is an unknown function. Through the classical Schauder fixed point theorem and a new conclusion about the relative compactness in Hölder spaces, we obtain the existence of solutions under certain assumptions. Our work is more general than the previous works in the Conclusion section. At the end, we introduce several tangible examples where our entity result can be adopted.

On the existence of solutions for quadratic integral equations in Orlicz spaces

2016 ◽  
Vol 66 (6) ◽  
Author(s):  
Mieczysław Cichoń ◽  
Mohamed M. A. Metwali
Keyword(s):  
Integral Equations ◽  
Existence Of Solutions ◽  
Orlicz Spaces ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

AbstractWe study quadratic integral equations in Orlicz spaces on the interval [

scholarly journals Existence Results for Block Matrix Operator of Fractional Orders in Banach Algebras

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 856 ◽  
Author(s):  
Hind Hashem ◽  
Ahmed El-Sayed ◽  
Dumitru Baleanu
Keyword(s):  
Existence Of Solutions ◽  
Banach Algebras ◽  
Coupled System ◽  
Existence Results ◽  
Direct Application ◽  
Block Matrix ◽  
Quadratic Integral ◽  
The Stability ◽  
Fractional Orders ◽  
Quadratic Integral Equations

This paper is concerned with proving the existence of solutions for a coupled system of quadratic integral equations of fractional order in Banach algebras. This result is a direct application of a fixed point theorem of Banach algebras. Some particular cases, examples and remarks are illustrated. Finally, the stability of solutions for that coupled system are studied.

scholarly journals Existence of solutions for a system of Chandrasekhar’s equations in Banach algebras underweak topology

Filomat ◽  
2019 ◽  
Vol 33 (18) ◽  
pp. 5949-5957
Author(s):  
Amor Fahem ◽  
Aref Jeribi ◽  
Najib Kaddachi
Keyword(s):  
Banach Algebra ◽  
Integral Equations ◽  
Existence Of Solutions ◽  
Banach Algebras ◽  
Coupled System ◽  
Operator Matrix ◽  
Block Operator ◽  
Quadratic Integral ◽  
Continuous Operators ◽  
Quadratic Integral Equations

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 of Chandrasekhar type. The existence of solutions will be proved by applying fixed point theorem of a 2 x 2 block operator matrix defined on a nonempty, closed and convex subset of Banach algebra where the entries are weakly sequentially continuous operators.

scholarly journals Solutions to Fredholm Integral Inclusions via Generalized Fuzzy Contractions

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 808 ◽  
Author(s):  
Hamed H Al-Sulami ◽  
Jamshaid Ahmad ◽  
Nawab Hussain ◽  
Abdul Latif
Keyword(s):  
Fixed Point ◽  
Unknown Function ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Multivalued Operator ◽  
Complete Metric Spaces ◽  
New Class ◽  
Integral Inclusion ◽  
The Family

The aim of this study is to investigate the existence of solutions for the following Fredholm integral inclusion φ ( t ) ∈ f ( t ) + ∫ 0 1 K ( t , s , φ ( s ) ) ϱ s for t ∈ [ 0 , 1 ] , where f ∈ C [ 0 , 1 ] is a given real-valued function and K : [ 0 , 1 ] × [ 0 , 1 ] × R → K c v ( R ) a given multivalued operator, where K c v represents the family of non-empty compact and convex subsets of R , φ ∈ C [ 0 , 1 ] is the unknown function and ϱ is a metric defined on C [ 0 , 1 ] . To attain this target, we take advantage of fixed point theorems for α -fuzzy mappings satisfying a new class of contractive conditions in the context of complete metric spaces. We derive new fixed point results which extend and improve the well-known results of Banach, Kannan, Chatterjea, Reich, Hardy-Rogers, Berinde and Ćirić by means of this new class of contractions. We also give a significantly non-trivial example to support our new results.

scholarly journals Solution to Fredholm integral inclusions via (F, δb)-contractions

2016 ◽  
Vol 14 (1) ◽  
pp. 1053-1064 ◽  
Author(s):  
Hemant Kumar Nashine ◽  
Ravi P. Agarwal ◽  
Zoran Kadelburg
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Sufficient Conditions ◽  
Integral Inclusion

AbstractWe present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.

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