Browsing by Author "Ameer, Eskandar"

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Citation - WoS: 4
Citation - Scopus: 5
Applying Fixed Point Techniques for Obtaining a Positive Definite Solution To Nonlinear Matrix Equations
(Amer inst Mathematical Sciences-aims, 2023) Ameer, Eskandar; Ali, Amjad; Hammad, Hasanen A.; Jarad, Fahd; Tariq, Muhammad
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: 6
Citation - Scopus: 5
Novel Results on Fixed-Point Methodologies for Hybrid Contraction Mappings in Mb-Metric Spaces With an Application
(Amer inst Mathematical Sciences-aims, 2023) Hammad, Hasanen A.; Ameer, Eskandar; Arshad, Muhammad; Jarad, Fahd; Mudhesh, Mustafa
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.