Browsing by Author "Tariq, Muhammad"

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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.
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    Citation - WoS: 8
    Citation - Scopus: 7
    Some Integral Inequalities for Generalized Preinvex Functions With Applications
    (Amer inst Mathematical Sciences-aims, 2021) Sahoo, Soubhagya Kumar; Jarad, Fahd; Kodamasingh, Bibhakar; Tariq, Muhammad
    The main objective of this work is to explore and characterize the idea of s-type preinvex function and related inequalities. Some interesting algebraic properties and logical examples are given to support the newly introduced idea. In addition, we attain the novel version of Hermite-Hadamard type inequality utilizing the introduced preinvexity. Furthermore, we establish two new identities, and employing these, we present some refinements of Hermite-Hadamard-type inequality. Some special cases of the presented results for di fferent preinvex functions are deduced as well. Finally, as applications, some new inequalities for the arithmetic, geometric and harmonic means are established. Results obtained in this paper can be viewed as a significant improvement of previously known results. The awe-inspiring concepts and formidable tools of this paper may invigorate and revitalize for additional research in this worthy and absorbing field.