Browsing by Author "Hammad, Hasanen A."

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Citation - WoS: 4
Citation - Scopus: 4
Applying fixed point techniques for obtaining a positive definite solution to nonlinear matrix equations
(Amer inst Mathematical Sciences-aims, 2023) Tariq, Muhammad; Ameer, Eskandar; Ali, Amjad; Hammad, Hasanen A.; Jarad, Fahd; 234808; Matematik
In this manuscript, the concept of rational-type multivalued F-contraction mappings is investigated. In addition, some nice fixed point results are obtained using this concept in the setting of MM-spaces and ordered MM-spaces. Our findings extend, unify, and generalize a large body of work along the same lines. Moreover, to support and strengthen our results, non-trivial and extensive examples are presented. Ultimately, the theoretical results are involved in obtaining a positive, definite solution to nonlinear matrix equations as an application.
Citation - WoS: 1
Citation - Scopus: 2
Existence and Well-Posedness of Tripled Fixed Points with Application to a System of Differential Equations
(Mdpi, 2022) Rashwan, Rashwan A.; Hammad, Hasanen A.; Nafea, Ahmed; Jarad, Fahd; 234808; Matematik
The purpose of this manuscript is to demonstrate the existence and uniqueness of triple fixed-point results for Geraghty-type contractions in ordinary metric spaces with binary relations. Moreover, the well-posedness of the tripled fixed point problem is investigated. Consequently, a-dominated mapping on such space is discussed. Ultimately, to promote our paper, some illustrative examples are derived, and the existence of the solution to a system of differential equations is obtained as an application.
Citation - WoS: 4
Citation - Scopus: 4
Novel results on fixed-point methodologies for hybrid contraction mappings in Mb-metric spaces with an application
(Amer inst Mathematical Sciences-aims, 2023) Mudhesh, Mustafa; Hammad, Hasanen A.; Ameer, Eskandar; Arshad, Muhammad; Jarad, Fahd; 234808; Matematik
By combining the results of Wardowski's cyclic contraction operators and admissible multi -valued mappings, the motif of eta-cyclic (alpha(*), beta(*))-admissible type F-contraction multivalued mappings are presented. Moreover, some novel fixed point theorems for such mappings are proved in the context of Mb-metric spaces. Also, two examples are given to clarify and strengthen our theoretical study. Finally, the existence of a solution of a pair of ordinary differential equations is discussed as an application.
Citation - WoS: 0
Citation - Scopus: 2
Quadruple Best Proximity Points with Applications to Functional and Integral Equations
(Wiley, 2022) Hammad, Hasanen A.; Rashwan, Rashwan A.; Nafea, A.; Jarad, Fahd; 234808; Matematik
This manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our study. Also, under suitable conditions, some quadruple fixed point results are presented. Finally, as applications, the existence and uniqueness of a solution to a system of functional and integral equations are obtained to promote our paper.