Inspired by a recent article on Fréchet spaces of ordinary Dirichlet series $$\sum a_n n^{-s}$$ due to J. Bonet, we study topological and geometrical properties certain scales general e^{-\lambda _n s}$$ focus the space $$\lambda $$ -Dirichlet which have limit functions bounded all half planes strictly smaller than right plane $$[{{\,\mathrm{Re}\,}}>0]$$ . We develop an abstract setting pre-Fré...

For given k ∈ (0, 1) and r > 0, a self-mapping T : M → M is said to be r-roughly k-contractive provided ‖Tx− Ty‖ ≤ k ‖x− y‖+ r (x, y ∈ M). To state fixed-point properties of such a mapping, the self-Jung constant Js(X) is used, which is defined as the supremum of the ratio 2 rconv S(S)/ diam S over all non-empty, non-singleton and bounded subsets S of some normed linear space X, where rconv S(S...

*Correspondence: [email protected] Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan Abstract We give characterizations of the contractive conditions, by using convergent sequences. Since we use a unified method, we can compare the contractive conditions very easily. We also discuss the contractive conditions of int...

In this paper, first we have established two sets of sufficient conditions for a TS-IF contractive mapping to have unique fixed point in a intuitionistic fuzzy metric space. Then we have defined ( ε , λ ) IF-uniformly locally contractive mapping and η− chainable space, where it has been proved that the ( ε , λ ) IF-uniformly locally contractive mapping possesses a fixed point.

For a general logic program, a set of n+ 1 logic values is considered and an unde ned value denoted u. Partial multi-valued interpretations are also de ned. A general logic program P may contain the constants that are de ned for every logic value. A pseudo-negation denoted eh is de ned for every integer h, where 0 h < n. A partial ordering denoted h is de ned between multi-valued interpretation...

We investigate the equation of state, diffusion coefficient, and structural order of a family of spherically symmetric potentials consisting of a hard core and a linear repulsive ramp. This generic potential has two characteristic length scales: the hard and soft core diameters. The family of potentials is generated by varying their ratio, lambda. We find negative thermal expansion (thermodynam...

Multi-verb constructions are an areal feature of Kalahari Basin Area languages (“Khoisan”), a Sprachbund comprising the Kx’a, Tuu, and Khoe-Kwadi families. Presently, these characterised by two distinct multi-verb with specific distributions: strictly contiguous serial verb in Kx’a Tuu correspond to involving morphophonological linker, or “juncture”, Khoe-Kwadi. This paper describes additional ...