A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of a System of Nonlinear Functional Integral Equations of Volterra Type
TL;DR: In this paper, the Meir-Keeler condensing operators were generalized via a concept of the class of operators $ O (f;.)$ that was given by Altun and Turkoglu and applied this extension to obtain some tripled fixed point theorems.
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Abstract: In this paper, we generalize the Meir-Keeler condensing operators via a concept of the class of operators $ O (f;.)$, that was given by Altun and Turkoglu [4], and apply this extension to obtain some tripled fixed point theorems. As an application of this extension, we analyze the existence of solution for a system of nonlinear functional integral equations of Volterra type. Finally, we present an example to show the effectiveness of our results. We use the technique of measure of noncompactness to obtain our results.
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Citations
Some fixed point theorems via measure of noncompactness with applications to differential equations
TL;DR: Some Darbo’s type fixed point theorems associated with measure of noncompactness via the concept of operators A ( f ; .) and weakly JS -contractive condition in Banach space are proved.
15
Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem
Babak Mohammadi,Ali Asghar Shole Haghighi,Maryam Khorshidi,Manuel De la Sen,Vahid Parvaneh +4 more
- 01 Apr 2020
TL;DR: In this article, an extension of Darbo's fixed point theorem via θ -F-contractions in a Banach space has been presented, and a measure of noncompactness approach is the main tool in the presentation of their proofs.
12
An extension of Darbo’s theorem and its application to existence of solution for a system of integral equations
Shahram Banaei
- 01 Jan 2019
TL;DR: In this paper, the authors extend Darbo's fixed point theorem in Banach space via the concept of the class of operators O(f;.) and obtain a tripled fixed-point theorem.
9
Measure of noncompactness and a generalized Darbo’s fixed point theorem and its applications to a system of integral equations
Vahid Parvaneh,Maryam Khorshidi,Manuel De la Sen,Hüseyin Işık,Mohammad Mursaleen,Mohammad Mursaleen,Mohammad Mursaleen +6 more
TL;DR: In this paper, a new extension of the well-known Darbo inequality in a Banach space is presented, motivated by Isik et al. They provide several generalizations of the Darbo inequalities.
On new extensions of Darbo's fixed point theorem with applications
Hüseyin Işık,Shahram Banaei,Farhan Golkarmanesh,Vahid Parvaneh,Choonkil Park,Maryam Khorshidi +5 more
TL;DR: Darbo’s fixed point theorem is extended via weak JS-contractions in a Banach space via the technique of measure of non-compactness to study the existence of solutions for a system of integral equations.
References
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A Meir,Emmett B. Keeler +1 more
TL;DR: In this article, it was shown that the conclusion of Banach's Theorem holds more generally from a condition of weakly uniformly strict contraction, which is known as weakly uniform strict contraction.
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A fixed point theorem for mappings satisfying a general contractive condition of integral type
TL;DR: In this paper, the existence of fixed points for mappings defined on metric spaces satisfying a general contractiveINEquality of integral type was analyzed, and it was shown that fixed points can be found for any mapping f : X → X for which there exists a real number of φ (t ) d t > 0.
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Punti uniti in trasformazioni a codominio non compatto
TL;DR: In this article, the conditions générales d'utilisation (http://www.numdam.unipd.org/legal. php) of the agreement with the Rendiconti del Seminario Matematico della Università di Padova are discussed.
Coupled fixed point theorems for a generalized Meir–Keeler contraction in partially ordered metric spaces
TL;DR: In this article, the generalized Meir-Keeler type functions and coupled fixed point theorems for complete metric spaces with partial order were defined and proved under a generalized MEK contractive condition.
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