Browsing by Author "Aydi, Hassen"

Now showing 1 - 7 of 7

Citation - WoS: 2
Citation - Scopus: 2
Analysing Discrete Fractional Operators With Exponential Kernel for Positivity in Lower Boundedness
(Amer inst Mathematical Sciences-aims, 2022) Mohammed, Pshtiwan Othman; Baleanu, Dumitru; Aydi, Hassen; Hamed, Yasser S.; Mahmood, Sarkhel Akbar; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper we study the positivity analysis problems for discrete fractional operators with exponential kernel, namely the discrete Caputo-Fabrizio operators. The results are applied to a discrete Caputo-Fabrizio-Caputo fractional operator of order omega of another discrete Caputo-Fabrizio-Riemann fractional operator of order beta. Furthermore, the results are obtained for these operators with having the same orders. The conditions for the discrete fractional operators with respect to negative lower bound conditions are expressed in terms of a positive epsilon.
Citation - WoS: 43
Citation - Scopus: 34
Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces
(Hindawi Ltd, 2012) Karapinar, Erdal; Abdeljawad, Thabet; Aydi, Hassen; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we prove the existence and uniqueness of a new Meir-Keeler type coupled fixed point theorem for two mappings F : X x X -> X and g : X -> X on a partially ordered partial metric space. We present an application to illustrate our obtained results. Further, we remark that the metric case of our results proved recently in Gordji et al. (2012) have gaps. Therefore, our results revise and generalize some of those presented in Gordji et al. (2012)
Global Optimization and Applications To a Variational Inequality Problem
(de Gruyter Poland Sp Z O O, 2021) Adeel, Muhammad; Aydi, Hassen; Baleanu, Dumitru; Hussain, Azhar; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In the present paper, we study the existence and convergence of the best proximity point for cyclic Theta-contractions. As consequences, we extract several fixed point results for such cyclic mappings. As an application, we present some solvability theorems in the topic of variational inequalities.
Citation - WoS: 32
On Interpolative Boyd-Wong and Matkowski Type Contractions
(inst Applied Mathematics, 2020) Karapinar, Erdal; Karapınar, Erdal; Aydi, Hassen; Mitrovic, Zoran D.; 19184; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
By using an interpolation approach, we recognize Boyd-Wong and Matkowski type contractions and we prove the related fixed point theorems in the class of metric spaces. The obtained results are supported by some examples. We also give the partial metric case according to our results.
Citation - WoS: 9
Citation - Scopus: 10
On Interpolative Hardy-Rogers Type Multivalued Contractions Via a Simulation Function
(Univ Nis, Fac Sci Math, 2022) Ali, Ahsan; Hussain, Azhar; Aydi, Hassen; Karapinar, Erdal; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide some examples. We also prove data dependence of the fixed point sets. Moreover, we present strict fixed point set, well-posedness and homotopy results.
Citation - WoS: 7
Citation - Scopus: 12
On P-Hybrid Wardowski Contractions
(Hindawi Ltd, 2020) Aydi, Hassen; Fulga, Andreea; Karapinar, Erdal; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The goal of this work is to introduce the concept ofp-hybrid Wardowski contractions. We also prove related fixed-point results. Moreover, some illustrated examples are given.
Citation - WoS: 7
Citation - Scopus: 15
Study on Pata E-Contractions
(Springer, 2020) Fulga, Andreea; Aydi, Hassen; Karapinar, Erdal; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we introduce the notion of an alpha-(zeta) over tilde -E-Pata contraction that combines well-known concepts, such as the Pata contraction, the E-contraction and the simulation function. Existence and uniqueness of a fixed point of such mappings are investigated in the setting of a complete metric space. An example is stated to indicate the validity of the observed result. At the end, we give an application on the solution of nonlinear fractional differential equations.