in this paper, we study a class of finsler metrics which contains the class of p-reducible andgeneral relatively isotropic landsberg metrics, as special cases. we prove that on a compact finsler manifold,this class of metrics is nothing other than randers metrics. finally, we study this class of finsler metrics withscalar flag curvature and find a condition under which these metrics reduce to r...

the sequential $p$-convergence in a fuzzy metric space, in the sense of george and veeramani, was introduced by d. mihet as a weaker concept than convergence. here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. in such a case $m$ is called an $s$-fuzzy metric. if $(n_m,ast)$ is a fuzzy metri...

In this paper, we introduce the notion of an extended metric space ($p$-metric space) as a new generalization of the concept of $b$-metric space. Also, we present the concept of $(psi ,varphi )_{Omega}$-contractive mappings and we establish some fixed point results for this class of mappings in ordered complete $p$-metric spaces. Our results generalize several well...

in this paper, we study projective randers change and c-conformal change of p-reduciblemetrics. then we show that every p-reducible generalized landsberg metric of dimension n  2 must be alandsberg metric. this implies that on randers manifolds the notions of generalized landsberg metric andberwald metric are equivalent.

In this paper, we solve the Dirichlet problem for Sobolev maps between singular metric spaces that extends corresponding result of Guo and Wenger (Commun Anal Geom 28(1):89–112, 2020). The main new ingredient in our proofs is a suitable extension theory trace valued developed by Korevaar Schoen 1(3–4):561–659, 1993) . We also develop borderline case, which investigates sharp condition to charac...

Introduction/purpose: The aim of this paper is to present the concept generalized ∅-weak contractive condition involving various combinations d(x,y) in modular metric spaces. Methods: Conventional theoretical methods functional analysis. Results: This study presents result (Murthy & Vara Prasad, 2013) for a single-valued mapping satisfying ∅ -weak d(x,y). It setting spaces, and then it prov...

While voluminous studies have attributed the continuing decline of institutional trust to political corruption, the link between corruption and institutional trust in Asia has yet been explored systematically. Testing the effect of corruption on institutional trust is theoretically important and empirically challenging, since many suggests that contextual factors in Asia such as political cultu...

In this paper, the poset $BX$ of formal balls is studied in fuzzy partial metric space $(X,p,*)$. We introduce the notion of layered complete fuzzy partial metric space and get that the poset $BX$ of formal balls is a dcpo if and only if $(X,p,*)$ is layered complete fuzzy partial metric space.