This is a review paper based on recent article FG- coupled fixed points [17], in which the authors established point theorems partially ordered complete S∗ metric space. The results were illustrated by suitable examples, too. An an n-tuple from n-product of set to non negative reals. [17] generalizes main Gnana Bhaskar and Lakshmikantham [5].

In this paper, we provide formal definitions for object space, space subdivision and ray tracing. We also introduce concept models such as ordered space subdivisions and ordered visualization. From these works, we can evaluate the correctness and performance of our space subdivision scheme for volume visualization. With these definitions, we also analyze some established space subdivision appro...

Efficient implementation of multiple dispatching is critical with regard to the success of the multimethods, which are recognized as a powerful mechanism in object-oriented programming languages. However, the current known time-efficient approaches suffer of poor space efficiency. This paper presents a novel multiple dispatching approach that substantially improves the space efficiency over the...

Given a row contraction of operators on Hilbert space and a family of projections on the space which stabilize the operators, we show there is a unique minimal joint dilation to a row contraction of partial isometries which satisfy natural relations. For a fixed row contraction the set of all dilations forms a partially ordered set with a largest and smallest element. A key technical device in ...

In this paper we consider the following separate but related questions: “How do we construct an effective admissible domain representation of a space X from a pseudobasis on X?”, and “How do we construct an effective admissible domain representation of the inductive limit of a directed system (Xi)i∈I of topological spaces, given effective admissible domain representations of the individual spac...

Let £ be a partially ordered linear normed space over the field of real numbers whose positive cone K has nonempty interior K0.1 A functional / in E*, the conjugate space of E, is called positive if f(K)^0 and/5^0. A semi-group V of linear operators on E is called positive if r(A7) QK. It will be assumed that T contains the identity operator. This note is concerned with the properties of positi...

We unify the concepts of G-metric, metric-like, and b-metric to define new notion of generalized b-metric-like space and discuss its topological and structural properties. In addition, certain fixed point theorems for two classes of G-α -admissible contractive mappings in such spaces are obtained and some new fixed point results are derived in corresponding partially ordered space. Moreover, so...

in this paper, we introduce a method by which we can find a close connection between the set of prime $z$-ideals of $c(x)$ and the same of $c(y)$, for some special subset $y$ of $x$. for instance, if $y=coz(f)$ for some $fin c(x)$, then there exists a one-to-one correspondence between the set of prime $z$-ideals of $c(y)$ and the set of prime $z$-ideals of $c(x)$ not containing $f$. moreover, c...

The family of topologies that induce the Euclidean metric space on every time axis and every space axis exhibits no maximal element when partially ordered by the relation “finer than”, as demonstrated in this article. One conclusion and two reflections emerge and are addressed herein: Conclusion: a. Zeeman’s fine topology [1] and Göbel’s extension to arbitrary spacetimes [2] do not exist. Refle...