Browsing by Author "Zada, Mian Bahadur"

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Citation - WoS: 3
Citation - Scopus: 4
Common Fixed Point Theorem Via Cyclic (Α, Β) - (ψ,φ)s-Contraction With Applications
(Mdpi, 2019) Jarad, Fahd; Abdeljawad, Thabet; Zada, Mian Bahadur; Sarwar, Muhammad
In this paper, we introduce the notion of cyclic (alpha, beta) - (psi,phi)(S)-rational-type contraction in b-metric spaces, and using this contraction, we prove common fixed point theorems. Our work generalizes many existing results in the literature. In order to highlight the usefulness of our results, applications to functional equations are given.
Citation - WoS: 5
Citation - Scopus: 5
Generalized Darbo-Type F-Contraction and F-Expansion and Its Applications To a Nonlinear Fractional-Order Differential Equation
(Hindawi Ltd, 2020) Abdeljawad, Thabet; Jarad, Fahd; Zada, Mian Bahadur; Sarwar, Muhammad
In this work, we introduce various Darbo-type F -contractions pound, and utilizing these contractions, we present some fixed point theorems. Moreover, we introduce a Darbo-type F -expanding pound mapping and prove fixed point theorems under the Darbo-type F -expanding pound mapping. Employing our results, we check the existence of a solution to the nonlinear fractional-order differential equation under the integral type boundary conditions. For its validity, an appropriate example is given.