## 389 Citations

### Fixed point theory for cyclic generalized contractions in partial metric spaces

- Mathematics
- 2016

In this article, we give some fixed point theorems for mappings satisfying cyclical generalized contractive conditions in complete partial metric spaces.

### On Cyclic Generalized Weakly C-Contractions on Partial Metric Spaces

- MathematicsJ. Appl. Math.
- 2013

This paper extends, generalize, and improve some fixed point theorems in the literature, and gives new results of a cyclic generalized weakly -contraction in partial metric space.

### Coupled fixed points in complex partial metric spaces

- MathematicsJournal of Mathematics and Computer Science
- 2021

In this paper, we obtain coupled fixed point theorems in complex partial metric spaces under the different contractive conditions. Examples are provided to support our results.

### Fixed-Point Theorems for Integral-Type Contractions on Partial Metric Spaces

- MathematicsUkrainian Mathematical Journal
- 2016

We present some fixed-point results for single-valued mappings on partial metric spaces satisfying a contractive condition of integral type.

### Fixed-Point Theorems for Integral-Type Contractions on Partial Metric Spaces

- Mathematics
- 2016

We present some fixed-point results for single-valued mappings on partial metric spaces satisfying a contractive condition of integral type.

### Fixed Points of -Admissible Mappings on Partial Metric Spaces

- Mathematics
- 2014

In this paper, a general class of -admissible contractions on partial metric spaces is introduced. Fixed point theorems for these contractions on partial metric spaces and their consequences are…

### Coupled Fixed Point Theorems for Nonlinear Contractions in Partial Metric Spaces

- MathematicsInt. J. Math. Math. Sci.
- 2012

We establish some results on the existence and uniqueness of coupled fixed point involving nonlinear contractive conditions in complete-ordered partial metric spaces.

### SOME FIXED POINT RESULTS IN ORDERED PARTIAL METRIC SPACES

- Mathematics
- 2011

In this paper, we establish some xed point theorems in ordered partial metric spaces. An example is given to illustrate our obtained results.

## 15 References

### Random and deterministic fixed point theory for generalized contractive maps

- Mathematics
- 2004

Fixed point and homotopy results are presented for generalized contractions on complete gauge spaces. In addition we obtain random fixed point results for generalized contractions.

### On Banach fixed point theorems for partial metric spaces

- Mathematics
- 2005

In this paper we prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O’Neill) given in, obtaining as a particular case of our results the Banach…

### A Kirk Type Characterization of Completeness for Partial Metric Spaces

- Mathematics
- 2009

We extend the celebrated result of W. A. Kirk that a metric space is complete if and only if every Caristi self-mapping for has a fixed point, to partial metric spaces.

### Banach's Fixed Point Theorem for Partial Metric Spaces

- Mathematics
- 2004

Summary. - In 1994, S.G. Matthews introduced the notion of a partial metric space and obtained, among other results, a Banach contraction mapping for these spaces. Later on, S.J. O’Neill generalized…

### Partial Metric Topology

- Mathematics
- 1994

This paper presents a symmetric generalised metric for such topologies, an approach which sheds new light on how metric tools such as Banach's Theorem can be extended to non‐Hausdorff topologies.

### A Generalization of a Fixed Point Theorem of Reich

- MathematicsCanadian Mathematical Bulletin
- 1973

The following theorem is the principal result of this paper. Let (M, d) be a metric space and T a self-mapping of M satisfying the condition for x,y ∊ M 1 where a, b, c, e,f are nonnegative and we…

### Some Results on Fixed Points—II

- Mathematics
- 1969

(1969). Some Results on Fixed Points—II. The American Mathematical Monthly: Vol. 76, No. 4, pp. 405-408.

### Approximation of Metric Spaces by Partial Metric Spaces

- Mathematics, Computer ScienceAppl. Categorical Struct.
- 1999

A weak partial metric on the poset of formal balls of a metric space can be used to construct the completion of classical metric spaces from the domain-theoretic rounded ideal completion.

### Partial Metrics, Valuations, and Domain Theory

- Mathematics
- 1995

In this paper we develop some connections between the partial metrics of Matthews and the topological aspects of domain theory. We do this by introducing the valuation spaces, which are a special…

### On nonlinear contractions

- Mathematics
- 1969

where \p is some function defined on the closure of the range of p. In [3], Rakotch proved that if \p(t) =ct(t)t, where a is decreasing and a(t) <1 for i>0, then a mapping satisfying (3) has a unique…