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Jessada Tariboon - One of the best experts on this subject based on the ideXlab platform.
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An Analytical Survey on the Solutions of the Generalized Double-Order φ-Integrodifferential Equation
'Hindawi Limited', 2021Co-Authors: Sh. Rezapour, Sotiris K Ntouyas, M. Q. Iqbal, A. Hussain, S. Etemad, Jessada TariboonAbstract:We study the existence of solutions for a newly configured model of a double-order integrodifferential equation including φ-Caputo double-order φ-integral boundary conditions. In this way, we use the Krasnoselskii and Leray-Schauder fixed point results. Also, we invoke the Banach Contraction Principle to confirm the uniqueness of the existing solutions. Finally, we provide three examples to illustrate our analytical findings
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Coupled Systems of Sequential Caputo and Hadamard Fractional Differential Equations with Coupled Separated Boundary Conditions
MDPI AG, 2018Co-Authors: Suphawat Asawasamrit, Jessada Tariboon, Sotiris K Ntouyas, Woraphak NithiarayaphaksAbstract:This paper studies the existence and uniqueness of solutions for a new coupled system of nonlinear sequential Caputo and Hadamard fractional differential equations with coupled separated boundary conditions, which include as special cases the well-known symmetric boundary conditions. Banach’s Contraction Principle, Leray⁻Schauder’s alternative, and Krasnoselskii’s fixed-point theorem were used to derive the desired results, which are well-illustrated with examples
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existence of solutions for riemann liouville fractional differential equations with nonlocal erdelyi kober integral boundary conditions on the half line
Boundary Value Problems, 2015Co-Authors: Phollakrit Thiramanus, Sotiris K Ntouyas, Jessada TariboonAbstract:This paper investigates the existence of solutions for nonlinear fractional differential equations with m-point Erdelyi-Kober fractional integral boundary conditions on an infinite interval via the Leray-Schauder nonlinear alternative and the Banach Contraction Principle. Some examples illustrating the main results are also presented.
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three point boundary value problems for nonlinear q difference equations with multi term q derivative boundary conditions
Applied mathematical sciences, 2013Co-Authors: Chatthai Thaiprayoon, Jessada TariboonAbstract:In this paper, we present some new existence and uniqueness results for three-point boundary value problems of nonlinear q-difference equations with multi-term q-derivative boundary conditions. Our results are based on Banach’s Contraction Principle, Krasnowselskii’s fixed point theorem and Leray-Schauder degree theory. Two examples are given to illustrate the advantage of our results.
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existence results of fractional integro differential equations with m point multi term fractional order integral boundary conditions
Boundary Value Problems, 2012Co-Authors: Weerawat Sudsutad, Jessada TariboonAbstract:In this article, we present some new existence and uniqueness results for nonlinear fractional integro-differential equations with m-point multi-term fractional order integral boundary conditions. Our results are based on the Banach Contraction Principle and Krasnoselskii’s fixed point theorem.
Tomonari Suzuki - One of the best experts on this subject based on the ideXlab platform.
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characterization of semicompleteness via caristi s fixed point theorem in semimetric spaces
Journal of Function Spaces and Applications, 2018Co-Authors: Tomonari SuzukiAbstract:Introducing the concept of -semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to -semicomplete semimetric spaces. Via this extension, we characterize -semicompleteness. We also give generalizations of the Banach Contraction Principle.
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generalized metric spaces do not have the compatible topology
Abstract and Applied Analysis, 2014Co-Authors: Tomonari SuzukiAbstract:We study generalized metric spaces, which were introduced by Branciari (2000). In particular, generalized metric spaces do not necessarily have the compatible topology. Also we prove a generalization of the Banach Contraction Principle in complete generalized metric spaces.
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generalized distance and existence theorems in complete metric spaces
Journal of Mathematical Analysis and Applications, 2001Co-Authors: Tomonari SuzukiAbstract:Abstract In this paper, we first introduce the concept of τ-distance on a metric space, which is a generalized concept of both w -distance and Tataru's distance. We also improve the generalizations of the Banach Contraction Principle, Caristi's fixed point theorem, Ekeland's variational Principle, and the nonconvex minimization theorem according to Takahashi. Further we discuss the relation between w -distance and Tataru's distance.
Hichem Benelmechaiekh - One of the best experts on this subject based on the ideXlab platform.
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the ran reurings fixed point theorem without partial order a simple proof
Journal of Fixed Point Theory and Applications, 2014Co-Authors: Hichem BenelmechaiekhAbstract:The purpose of this note is to generalize the celebrated Ran–Reurings fixed point theorem to the setting of a space with a binary relation that is only transitive (and not necessarily a partial order) and a relation-complete metric. The arguments presented here are simple and straightforward. It is also shown that extensions by Rakotch and by Hu and Kirk of Edelstein’s generalization of the Banach Contraction Principle to local Contractions on chainable complete metric spaces are derived from the Ran–Reurings theorem.
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the ran reurings fixed point theorem without partial order a simple proof
arXiv: General Topology, 2014Co-Authors: Hichem BenelmechaiekhAbstract:The purpose of this note is to generalize the celebrated Ran and Reurings fixed point theorem to the setting of a space with a binary relation that is only transitive (and not necessarily a partial order) and a relation-complete metric. The arguments presented here are simple and straightforward. It is also shown that extensions by Rakotch and Hu-Kirk of Edelstein's generalization of the Banach Contraction Principle to local Contractions on chainable complete metric spaces derive from the theorem of Ran-Reurings.
Bessem Samet - One of the best experts on this subject based on the ideXlab platform.
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On a new generalization of metric spaces
arXiv: General Topology, 2018Co-Authors: Mohamed Jleli, Bessem SametAbstract:In this paper, we introduce the $\mathcal{F}$-metric space concept, which generalizes the metric space notion. We define a natural topology $\tau_{\mathcal{F}}$ in such spaces and we study their topological properties. Moreover, we establish a new version of the Banach Contraction Principle in the setting of $\mathcal{F}$-metric spaces. Several examples are presented to illustrate our study.
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a generalized metric space and related fixed point theorems
Fixed Point Theory and Applications, 2015Co-Authors: Mohamed Jleli, Bessem SametAbstract:We introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach Contraction Principle, Ciric’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result due to Nieto and Rodriguez-Lopez. This new concept of generalized metric spaces recover various topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces.
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fixed point theorems for α ψ contractive type mappings
Nonlinear Analysis-theory Methods & Applications, 2012Co-Authors: Bessem Samet, Calogero Vetro, Pasquale VetroAbstract:Abstract In this paper, we introduce a new concept of α – ψ -contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces. Starting from the Banach Contraction Principle, the presented theorems extend, generalize and improve many existing results in the literature. Moreover, some examples and applications to ordinary differential equations are given here to illustrate the usability of the obtained results.
Mohamed I Abbas - One of the best experts on this subject based on the ideXlab platform.
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existence and uniqueness results for fractional differential equations with riemann liouville fractional integral boundary conditions
Abstract and Applied Analysis, 2015Co-Authors: Mohamed I AbbasAbstract:We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s Contraction Principle. Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. An example is given to illustrate the main results.