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Browsing by Author "Ali, Amjad"

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    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.