Partial Metric Spaces Research Articles

New Contributions in Generalization S -Metric Spaces to S ∗ p -Partial Metric Spaces with Some Results in Common Fixed Point Theorems

In this paper, we introduce the notion of S ∗ p -partial metric spaces which is a generalization of S-metric spaces and partial-metric spaces. Also, we give some of the topological properties that are important in knowing the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorems in this spaces.

S ∗ p ‐ b -Partial Metric Spaces with some Results in Common Fixed Point Theorems

In this paper, we introduce the notion of S ∗ P ‐ b -partial metric spaces which is a generalization each of S ‐ b -metric spaces and partial-metric space. Also, we study and prove some topological properties, to know the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorem in these spaces.

Some questions on partial metric spaces

We show that the completion of a partial metric space can fail be unique, which answers a question on completions of partial metric spaces. In addition, to this paper discusses metrizability around partial metric spaces.

Fixed point results for multivalued mappings in partial Hausdorff metric spaces

The main purpose of this paper is to introduce and study fixed point (F.P) under a contractive condition satisfying Geraghty-type by using the concept of partial Hausdorff metric spaces. Our results improve and unify a multitude of (F.P) theorems and generalized some recent results in partial metric spaces (P.M.S).

Some results on fixed points and best approximation in partial idempotent-valued metric spaces

Some results on fixed points and best approximation in partial idempotent-valued metric spaces

On p-h Points and Completeness Property of a Partial Metric Space

On p-h Points and Completeness Property of a Partial Metric Space

Some fixed point results for α-nonexpansive maps on partial metric spaces

Some fixed point results for α-nonexpansive maps on partial metric spaces

COMMON FIXED POINTS FOR FOUR MAPS USING (α, η)-ADMISSIBLE FUNCTIONS IN PARTIAL METRIC SPACES Vol. 5(2) July 2017, No. 13, pp. 129-137 K. P. R. RAO, P. RANGA SWAMY AND K. R. K. RAO

COMMON FIXED POINTS FOR FOUR MAPS USING (α, η)-ADMISSIBLE FUNCTIONS IN PARTIAL METRIC SPACES Vol. 5(2) July 2017, No. 13, pp. 129-137 K. P. R. RAO, P. RANGA SWAMY AND K. R. K. RAO

On the completion of partial metric spaces

In this note, we give an example to answer affirmatively Ge-Lin’s question on the completion of partial metric spaces [3, Question 1]. We also study some related results on the completion of a partial metric space.

Results on generalized weak partial metric space

In this work, we introduce a new concept of generalized weak partial metric space (Gw p-metric space) which is a unification between generalized partial metric space (Gp-metric)and weak partial metric spaces. Also,wedemonstratesomefixedpointtheorems in a complete Gw p-metric space. An illustrative example is offered to uphold our results.

A common fixed point theorem for mappings satisfying (y,j)-weak contractions satisfying rational expressions in ordered partial metric spaces

A common fixed point theorem for mappings satisfying (y,j)-weak contractions satisfying rational expressions in ordered partial metric spaces

The asymptotically regularity and sequences in partial cone b-metric spaces with application

The aim of this paper is to propose a new space called partial cone b-metric space by using both the notions of cone b-metric spaces and partial metric spaces and by defining asymptotically regular maps and sequences. We also prove some fixed point theorems for such maps and sequences. Our results extend and generalize some interesting results of [11] and [21] in partial cone b-metric space. An example is also given to support the validity of our results.

Fixed point theorems on increasing functions in complete partial metric spaces (CPMS)

In 1992, the concept of partial metric spaces (PMS) \(p\) was introduced by Matthews [7]. In fact Partial Metric Spaces is the generalization of usual metric spaces. One of the interesting properties of PMS is that \(p(x,x)\) is not zero for all \(x\in X\), where \(X\) is the set of non negative reals. Every partial metric \(p\) on non-empty set generates a \(T_0\) topology \(\tau_0\) on \(X\). In this paper, we obtained CPMS version of some fixed point theorems on complete metric spaces and compact metric spaces given by T. Zamfirescu [9] and D. S. Jaggi [5].

Common fixed point of multifunctions on partial metric spaces

In this paper, some multifunctions on partial metric space are defined and common fixed points of such multifunctions are discussed. The results presented in the paper generalize some of the existing results in the literature. Several conclusions of the main results are given.

Fixed points and completeness on partial metric spaces

Fixed points and completeness on partial metric spaces

Berinde-Type Generalized Contractions on Partial Metric Spaces

We consider generalized Berinde-type contractions in the context of partial metric spaces. Such contractions are also known as generalized almost contractions in the literature. In this paper, we extend, generalize, and enrich the results in this direction. Some examples are presented to illustrate our results.

A Generalized Meir‐Keeler‐Type Contraction on Partial Metric Spaces

We introduce a generalization of the Meir‐Keeler‐type contractions, referred to as generalized Meir‐Keeler‐type contractions, over partial metric spaces. Moreover, we show that every orbitally continuous generalized Meir‐Keeler‐type contraction has a fixed point on a 0‐complete partial metric space.