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This work discusses the existence and uniqueness findings for Langevin equations of fractional-order with mixed nonlocal boundary conditions. The existence findings are derived using Krasnoselskii's fixed point theorem and the nonlinear alternative of Leray-Schauder. Uniqueness is proved using the Banach contraction mapping principle. The fractional derivatives are described in the Ψ-Hilfer sense. There are numerous examples highlighting the key findings. [ABSTRACT FROM AUTHOR]

In this article, we demonstrate some fixed point results that generalises the Banach contraction principle in a different way from the previously established literature findings. We provide some fixed point findings for nonlinear F type contractions in Strong Partial b-Metric Spaces (SPbMS). We also include some examples that demonstrates the applicability of our findings. [ABSTRACT FROM AUTHOR]

In this study, PPF dependent fixed point theorems are proved for a nonlinear operator, where the domain space C[[a,b], E] is distinct from the range space, E, which is a Strong Partial b-metric space (SPbMS). We obtain existence and uniqueness of PPF dependent fixed point results for the defined mappings under SPbMS. Our results are the extension of fixed point results in SPbMS. Examples are provided in the support of results. [ABSTRACT FROM AUTHOR]

In this article, we study the fractional-order SEIR mathematical model of Lumpy Skin Disease (LSD) in the sense of Caputo. The existence, uniqueness, non-negativity and boundedness of the solutions are established using fixed point theory. Using a next-generation matrix, the reproduction number R0 is determined for the disease's prognosis and durability. Using the fractional Routh-Hurwitz stability criterion, the evolving behaviour of the equilibria is investigated. Generalized Adams--Bashforth--Moulton approach is applied to arrive at the solution of the proposed model. Furthermore, to visualise the efficiency of our theoretical conclusions and to track the impact of arbitrary-order derivative, numerical simulations of the model and their graphical presentations are carried out using MATLAB(R2021a). [ABSTRACT FROM AUTHOR]

We establish a new fixed point theorem in the setting of convex b-metric spaces that ensures the existence of fixed point for Cirić contraction with the assumption k < 1 s 2 . Also, the fixed point is approximated by Krasnoselskij iterative procedure. Moreover, we discuss the stability of fixed point for the aforesaid contraction. As a consequence, we develop a common fixed point and coincidence point result. Finally, we provide a number of examples to illustrate the findings presented here and incorporate these findings to solve an initial value problem. [ABSTRACT FROM AUTHOR]

In the recent work, a new hybrid technique for computing the common solution of fixed point of a finite family of two non-expansive mapping and variational inequality problem for inverse strongly monotone mapping in a real Hilbert space is provided. We also demonstrate the convergence of the hybrid approach using an example. [ABSTRACT FROM AUTHOR]

In this article, we extend the notion of soft topological space to soft N-topological space using a real-world example. Furthermore, in soft N-topological spaces, N ≥ 2, we define soft ω-closed set, soft ω-open set, soft ω-closure and soft ω-interior. In addition, we examine the properties of these soft sets using relevant instances. [ABSTRACT FROM AUTHOR]

In this paper, some results are concerning the existence and uniqueness of invariant point with PPF dependence of a non linear mapping for θ - φ contraction and θ - φ Suzuki contraction in the complete metric space and setting of complete metric spaces. The new feature of this work is that the domain and range space of operator are not identical in question. The results provided in this research are on PPF dependent invariant points which are broaden and expand invariant point results by Mohamed Jleli and Bassem Samet [6] and Dingwei Zheng, Zhangyong Cai and Pei Wang [5]. [ABSTRACT FROM AUTHOR]