9 Results Found

This article comprises some fixed point results for Boyd–Wong-type strict almost contractions using locally $\mathcal{L}$-transitive binary relations. We provide several examples to illustrate our findings. On applying our results, we determine a unique so...

The present study deals with some fixed-point outcomes under a nonlinear formulation of strict almost contractions in a metric space endued with an arbitrary relation. The outcomes established herein enhance and develop various existing outcomes. To...

This article is devoted to investigating the fixed point theorems for a new contracitivity contraction, which combines the idea involved in Boyd-Wong contractions, strict almost contractions and relational contractions. Our results improve and expand...

This article consists of some new fixed point theorems verifying relation-theoretic strict almost nonlinear contractions that are preserved by a locally finitely transitive relation. Our results improve certain well-known results in the literature. T...

In this research, a few metrical fixed-point outcomes consisting of an almost nonlinear Pant-type contraction employing a locally finitely transitive relation have been established. The findings of our research extrapolate, unify, develop, and improv...

This paper deals with the fixed-point findings under relational strict almost $(\varphi ,\psi )$-contraction. Our findings complement and strengthen prevailing results. In the course of the procedure, we also derive a related fixed point theorem for stri...

Let $X={\left(X_t\right)}_{0\le t\le T}$ be a real-valued continuous process. For a threshold a, the sub-threshold time set $E_T\left(a\right)=\{t\in [0,T]:X_t\le a\}$ encodes several different threshold observables. The most elementary one is the cumulative occupation time $A_T\left(a\right)={\int }_{}^{}$...

This paper studies the boundedness and convergence properties of the sequences generated by strict and weak contractions in metric spaces, as well as their fixed points, in the event that finite jumps can take place from the left to the right limits...

Background: New Zealand was one of the first countries to adopt an elimination strategy based on a four-tier Alert Level system that included strict lockdowns at levels three and four. The lockdowns meant shutting out external social networks and bei...