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On coupled coincidence and common fixed point theorems for different types of mappings satisfying rational type contractions in b- metric spaces

Research Abstract

In this paper, we study the existence and uniqueness of coupled coincidence and common fixed points
for single-valued and fuzzy mappings under contraction condition of rational type in b-metric space with a partial order and prove the existence of coupled coincidence and common fixed
points for two single-valued mappings.

Research Authors
R. A. Rashwan, S. I. Moustafa
Research Journal
Journal of Advanced Studies in Topology
Research Pages
pp. 31–58
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 8, No. 1
Research Website
NULL
Research Year
2017

On coupled coincidence and common fixed point theorems for different types of mappings satisfying rational type contractions in b- metric spaces

Research Abstract

In this paper, we study the existence and uniqueness of coupled coincidence and common fixed points
for single-valued and fuzzy mappings under contraction condition of rational type in b-metric space with a partial order and prove the existence of coupled coincidence and common fixed
points for two single-valued mappings.

Research Authors
R. A. Rashwan, S. I. Moustafa
Research Department
Research Journal
Journal of Advanced Studies in Topology
Research Member
Research Pages
pp. 31–58
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 8, No. 1
Research Website
NULL
Research Year
2017

Coupled fixed point theorems by altering distances between points in partially ordered metric spaces

Research Abstract

In this paper, some coupled coincidence and common xed point theorems for two self
mappings have been derived which satisfy certain inequality involving a function of two variables
that measures the distance between points in ordered metric spaces. For particular choices of the
function several generalizations of many xed point theorems which contain altering distance
functions may be obtained. Our results can be applied directly to study multidimensional xed
point theorems which cover the concepts of coupled , tripled, quadruple xed point etc.

Research Authors
R. A. Rashwan and Shimaa I. M.
Research Journal
Journal of Global Research in Mathematical Archives
Research Pages
pp. 75-94
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 5, No. 4
Research Website
NULL
Research Year
2018

Coupled fixed point theorems by altering distances between points in partially ordered metric spaces

Research Abstract

In this paper, some coupled coincidence and common xed point theorems for two self
mappings have been derived which satisfy certain inequality involving a function of two variables
that measures the distance between points in ordered metric spaces. For particular choices of the
function several generalizations of many xed point theorems which contain altering distance
functions may be obtained. Our results can be applied directly to study multidimensional xed
point theorems which cover the concepts of coupled , tripled, quadruple xed point etc.

Research Authors
R. A. Rashwan and Shimaa I. M.
Research Department
Research Journal
Journal of Global Research in Mathematical Archives
Research Member
Research Pages
pp. 75-94
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 5, No. 4
Research Website
NULL
Research Year
2018

COMMON FIXED POINT THEOREMS IN 2-MENGER SPACES

Research Abstract

In this paper, we prove some xed point theorems in 2-Menger space under new contraction
conditions.

Research Authors
R. A. RASHWAN AND SHIMAA I. MOUSTAFA
Research Journal
Advances in Fixed Point Theory
Research Pages
pp. 79-91
Research Publisher
NULL
Research Rank
1
Research Vol
VOL. 2, No. I
Research Website
NULL
Research Year
2012

COMMON FIXED POINT THEOREMS IN 2-MENGER SPACES

Research Abstract

In this paper, we prove some xed point theorems in 2-Menger space under new contraction
conditions.

Research Authors
R. A. RASHWAN AND SHIMAA I. MOUSTAFA
Research Department
Research Journal
Advances in Fixed Point Theory
Research Member
Research Pages
pp. 79-91
Research Publisher
NULL
Research Rank
1
Research Vol
VOL. 2, No. I
Research Website
NULL
Research Year
2012

A COMMON FIXED POINT THEOREM
IN NON-ARCHIMEDEAN MENGER PM-SPACES

Research Abstract

In this paper we prove a common fixed point theorem for six
compatible self mappings of type (A) in a complete non-Archimedean Menger
PM-space.

Research Authors
R. A. Rashwan and Shimaa I. Moustafa
Research Journal
BULLETIN OF INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE
Research Pages
pp. 141-152
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 2
Research Website
NULL
Research Year
2012

A COMMON FIXED POINT THEOREM
IN NON-ARCHIMEDEAN MENGER PM-SPACES

Research Abstract

In this paper we prove a common fixed point theorem for six
compatible self mappings of type (A) in a complete non-Archimedean Menger
PM-space.

Research Authors
R. A. Rashwan and Shimaa I. Moustafa
Research Department
Research Journal
BULLETIN OF INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE
Research Member
Research Pages
pp. 141-152
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 2
Research Website
NULL
Research Year
2012

Common Fixed Point Theorems
For Four Weakly Compatible Mappings
In Menger Spaces

Research Abstract

In this paper, we show that some results of Sharma and Deshpande
[19] are not valid, we also give supporting example. Finally, we consider
the concept of weakly compatible mappings to improve the main result of
Pathak [9].

Research Authors
R. A. Rashwan and S. I. Maustafa
Research Journal
Bulletin of International Mathematical Virtual Institute
Research Pages
pp. 27-38
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 1
Research Website
NULL
Research Year
2011

Common Fixed Point Theorems
For Four Weakly Compatible Mappings
In Menger Spaces

Research Abstract

In this paper, we show that some results of Sharma and Deshpande
[19] are not valid, we also give supporting example. Finally, we consider
the concept of weakly compatible mappings to improve the main result of
Pathak [9].

Research Authors
R. A. Rashwan and S. I. Maustafa
Research Department
Research Journal
Bulletin of International Mathematical Virtual Institute
Research Member
Research Pages
pp. 27-38
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 1
Research Website
NULL
Research Year
2011
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