Weak formulations in Analytical Dynamics are developed, paralleling the variational methods in elastostatics, and including a fundamental yet novel approach for treating constraints (both holonomic and nonholonomic). A general three-field approach is presented, in which the momentum balance conditions, the compatibility conditions between displacement and velocity, the constitutive relations an...

INTRODUCTION The concept of fuzzy sets introduced by Zadeh [19], was the foundation of fuzzy metric space. Fuzzy metric spaces have been introduced by Kramosil and Michalek [8] and George and Veeramani [3] modified the notion of fuzzy metric spaces with the help of continuous tnorm. Recently many authors such as [4], [7], [14] and [15] have proved fixed point theorems involving fuzzy sets. Bouh...

Criteria for the existence and uniqueness of weak solutions of div-curl boundary-value problems on bounded regions in space with C-boundaries are developed. The boundary conditions are either given normal component of the field or else given tangential components of the field. Under natural integrability assumptions on the data, finite-energy (L) solutions exist if and only if certain compatibi...

In this paper, we prove common fixed point theorems of Gregus type for three discontinuous and weak compatible mappings in convex metric spaces. We improve, extend and generalize some well known results by many authors

In house mice, genetic compatibility is influenced by the t haplotype, a driving selfish genetic element with a recessive lethal allele, imposing fundamental costs on mate choice decisions. Here, we evaluate the cost of genetic incompatibility and its implication for mate choice in a wild house mice population. In laboratory reared mice, we detected no fertility (number of embryos) or fecundity...

There are a multitude of polymeric materials currently utilized to prepare a variety of blood-contacting implantable medical devices. These devices include tissue grafts, coronary artery and vascular stents, and orthopedic implants. The thrombogenic nature of such materials can cause serious complications in patients, and ultimately lead to functional failure. To date, there is no truly hemocom...

This paper establishes one common coincident point theorem and three unique common fixed point theorems for four self-maps in D-metric spaces, which improve and generalize, significantly, the results of Dhage et al. (2003), Dhage (1999), and Rhoades (2003) under weaker assumption using a more general contractive condition. An example, in support of these theorems, has also been constructed. All...

In martensitic phase transformations it has been appreciated since the 1950s that elastic compatibility plays an important role in determining the morphology of microstructure resulting from the phase transformation [1, 2, 3, 4]. Recently, new links have been established between conditions of compatibility and other properties, such as hysteresis [5, 6], thermal stability and fatigue under repe...

We study the completed cohomology Ĥ of a definite unitary group G in two variables associated with a CM-extension K/F . When the prime p splits, we prove that (under technical asumptions) the p-adic local Langlands correspondence for GL2(Qp) occurs in Ĥ. As an application, we obtain a result towards the Fontaine-Mazur conjecture over K: if x is a point on the eigenvariety such that ρx is geomet...

SPT-CL J2106-5844 is among the most massive galaxy clusters at z>1 yet discovered. While initially used in cosmological tests to assess compatibility with $\Lambda$CDM cosmology of such a virialized object this redshift, more recent studies indicate undergoing major merger, and not an isolated system singular, well-defined halo. We use sensitive, high spatial resolution measurements from ALMA A...