Konvergensi Barisan dan Kelengkapan pada Ruang Metrik Parsial Rectangular

The metric space is one of the objects studied in functional analysis. The metric space has undergone many developments, some eHamples of which are partial metric spaces and rectangular metric spaces. The difference between the metric space and the partial metric space can be seen in the distance of a point from itself. In the metric space, it is always equal to zero, while in the partial metric space it is not equal to zero. On the other hand, the difference between a metric space and a metric rectangular space can be seen in the inequalities used. In the metric space we use triangular inequalities, while in the metric rectangular space we use rectangular inequalities.  Shukla in 2014 presents the development of another metric space called  rectangular partial metric space, which combines the concept of  partial metric space with  rectangular metric space. This research we discusses the problem of the properties of the rectangular partial metric space, including convergence sequences, Cauchy sequences, and completeness of space in the rectangular partial metric space

Weakly Contractive Mapping and Weakly Kannan Mapping in Partial Metric Space

In the article the concept of metric space could be expanded, one of which is a partial metric space. In the metric space, the distance of a point to itself is equal to zero, while in the partial metric space need not be equal to zero.The concept of partial metric space is used to modify Banach's contraction principle. In this paper, we discuss weakly contractive mapping and weakly Kannan mapping which are extensions of Banach's contraction principle to partial metric space together some related examples. Additionally, we discuss someLemmas which are shows an analogy between Cauchy sequences in partial metric space with Cauchy sequences in metric space and analogy between the complete metric space and the complete partial metric space. Keywords: Cellulose metric space, partial metric space, weakly contraction mapping, weakly Kannan mapping

Fixed points and its applications in C*- algebra valued partial metric space

We familiarise with the concepts of contractiveness and expansiveness in a C*- algebra valued partial metric space and create an environment for the existence of fixed point in it. We solve an integral equation and an operator type equation as an application of main result. Further we give some examples to elaborate C*- algebra valued partial metric space and show that there exist situations when a partial metric result can be applied, while the standard metric one cannot.Publisher's Versio

COMMON FIXED POINT THEOREMS IN COMPLETE PARTIAL METRIC SPACE

The objective of this article is to obtain coincidence points and common fixed point theorem in complete partial metric space. We provide some examples to support the usability of our results

Rough convergence of sequences in a partial metric space

In this paper we have studied the notion of rough convergence of sequences in a partial metric space. We have also investigated how far several relevant results on boundedness, rough limit sets etc. which are valid in a metric space are affected in a partial metric space.Comment: 12 page

FORMAL BALLS IN FUZZY PARTIAL METRIC SPACES

Abstract. 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

Common fixed point results for four mappings on partial metric spaces

We give fixed point results for four mappings which satisfy almost generalized contractive condition on partial metric space and we support the results with an example

FIXED POINTS FOR TWO PAIRS OF ABSORBING MAPPINGS IN WEAK PARTIAL METRIC SPACES

In this paper, a general fixed point theorem for two pairs of absorbing mappings in weak partial metric space, using implicit relations, has been proved

common fixed points in a partially ordered partial metric space

In the first part of this paper, we prove some generalized versions of the result of Matthews in (Matthews, 1994) using different types of conditions in partially ordered partial metric spaces for dominated self-mappings or in partial metric spaces for self-mappings. In the second part, using our results, we deduce a characterization of partial metric 0-completeness in terms of fixed point theory. This result extends the Subrahmanyam characterization of metric completeness