scholarly journals Fixed point theorems for multiplicative contraction mappings on multiplicative metric space

2020 ◽  
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Contraction Mappings ◽  
Multiplicative Metric Space

scholarly journals Some Fixed Point Theorems in Pseudo Multiplicative Metric Spaces with Convex Structure

2019 ◽  
Author(s):  
Naveed Jamal ◽  
Dr. M. Anwar Chaudhry ◽  
M. Bakhsh Baloch
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Convex Structure ◽  
Multiplicative Metric Spaces ◽  
Multiplicative Metric Space

In the framework of a multiplicative metric space. We have.discuss some Properties of convex.structures.in pseudo multiplicative metric space and have applieditheseiproperties toiobtain alfixed point results in complete pseudo. It would be interesting to prove .some.further results.in such metric.spaces with completeness.property

scholarly journals Fixed Point Results on Multiplicative Semi-Metric Space

2020 ◽  
Vol 12 (3) ◽  
pp. 341-348
Author(s):  
B. Vijayabaskerreddy ◽  
V. Srinivas
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Continuous Mappings ◽  
Common Fixed Point Theorems ◽  
Multiplicative Metric Space ◽  
Unique Common Fixed Point

  In this paper we introduce the notion of the Multiplicative Semi-Metric Space and proved common fixed point theorems. We establish fixed point theorems for four self-maps which can be extended to derive common fixed point theorems involving any finite number of mappings in Multiplicative Semi Metric Space. Further examples are discussed to show that compatible mappings of type-E, weakly compatible mappings and reciprocally-continuous mappings are weaker forms of compatible mappings and continuous mappings respectively. The main objective of this article is to prove the unique common fixed point theorems and employing the notion of the compatible mappings of type-E, reciprocally-continuous mappings in the Multiplicative Semi Metric Space. Our result generalizes the concept of Multiplicative Metric Space as it does not involve the multiplicative triangle inequality.

scholarly journals Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Misbah Farheen ◽  
Tayyab Kamran ◽  
Azhar Hussain
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Best Proximity Point ◽  
Fuzzy Metric Space ◽  
Multivalued Mappings ◽  
Proximal Contraction ◽  
Fuzzy Metric ◽  
Multiplicative Metric Space

In this paper, we introduce fuzzy multiplicative metric space and prove some best proximity point theorems for single-valued and multivalued proximal contractions on the newly introduced space. As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point theorems for Feng-Liu-type multivalued proximal contraction in fuzzy metric space. Moreover, we illustrate our results with some interesting examples.

A GENERALIZATION OF AN EXTENDED b-METRIC SPACE AND SOME FIXED POINT THEOREMS

2021 ◽  
Vol 10 (5) ◽  
pp. 2351-2360
Author(s):  
V. Singh ◽  
P. Singh
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Lipschitz Constant ◽  
Contraction Mappings ◽  
Underlying Space ◽  
Comparison Functions

In this paper, we present fixed point theorems for contraction mappings in a generalization of an extended $b$-metric space where the product of the Lipschitz constant and functions of the underlying space in the limit are bounded by one for sequences in an orbit. Futhermore, we prove fixed point results in which the contraction involves $b$-comparison functions.

Fixed point theorems of contraction mappings in complete b-metric space of zero at infinity varieties

2020 ◽  
Author(s):  
Ghorban Khalilzadeh Ranjbar ◽  
Farhad Hosseinzadeh Lotfi ◽  
Mohammad Esmael Samei ◽  
Shahram Rezapour
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Contraction Mappings

scholarly journals Some fixed point theorems for set valued directional contraction mappings

1980 ◽  
Vol 3 (3) ◽  
pp. 455-460 ◽  
Author(s):  
V. M. Sehgal
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Sufficient Conditions ◽  
Contraction Mappings

LetSbe a subset of a metric spaceXand letB(X)be the class of all nonempty bounded subsets ofXwith the Hausdorff pseudometricH. A mappingF:S→B(X)is a directional contraction iff there exists a realα∈[0,1)such that for eachx∈Sandy∈F(x),H(F(x),F(z))≤αd(x,z)for eachz∈[x,y]∩S, where[x,y]={z∈X:d(x,z)+d(z,y)=d(x,y)}. In this paper, sufficient conditions are given under which such mappings have a fixed point.

scholarly journals (C , Ψ * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 482 ◽  
Author(s):  
Reny George ◽  
Ekta Tamrakar ◽  
Jelena Vujaković ◽  
Hemant Pathak ◽  
Selvavinayagam Velusamy
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Admissible Set ◽  
Contraction Mappings ◽  
Control Functions ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

In this paper, we introduce the ( C , Ψ * , G ) class of contraction mappings using C-class functions and some improved control functions for a pair of set valued mappings as well as a pair of single-valued mappings, and prove common fixed point theorems for such mappings in a metric space endowed with a graph. Our results unify and generalize many important fixed point results existing in literature. As an application of our main result, we have derived fixed point theorems for a pair of α -admissible set valued mappings in a metric space.

scholarly journals On Multivalued Fuzzy Contractions in Extended b -Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Nayab Alamgir ◽  
Quanita Kiran ◽  
Hassen Aydi ◽  
Yaé Ulrich Gaba
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Contraction Mappings ◽  
Nadler’S Fixed Point Theorem ◽  
The Family ◽  
Fuzzy Fixed Point

In this paper, we establish a Hausdorff metric over the family of nonempty closed subsets of an extended b -metric space. Thereafter, we introduce the concept of multivalued fuzzy contraction mappings and prove related α -fuzzy fixed point theorems in the context of extended b -metric spaces that generalize Nadler’s fixed point theorem as well as many preexisting results in the literature. Further, we establish α -fuzzy fixed point theorems for Ćirić type fuzzy contraction mappings as a generalization of previous results. Moreover, we give some examples to support the obtained results.

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