scholarly journals Fixed point results for various contractive conditions in b-multiplicative metric space

2021 ◽  
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
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.

scholarly journals A fixed point theorem on multiplicative metric space with integral-type inequality

2017 ◽  
Vol 18 (01) ◽  
pp. 18-28 ◽  
Author(s):  
Aziz Khan ◽  
Hasib Khan ◽  
Dumitru Baleanu ◽  
Hossein Jafari ◽  
Tahir Saeed Khan ◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Type Inequality ◽  
Integral Type ◽  
Multiplicative Metric Space

scholarly journals Common fixed point of four maps in Sm-metric space

2021 ◽  
Vol 19 (6) ◽  
pp. 915-928
Author(s):  
K. Mallaiah ◽  
V. Srinivas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Well Posedness ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Continuous Mappings ◽  
Multiplicative Metric Space ◽  
Common Fixed Point Theorem

In this paper, first, we deal with new metric space Sm-metric space that combines multiplicative metric space and S-metric space. We generate a common fixed point theorem in a Sm-metric space using the notions of reciprocally continuous mappings, faintly compatible mappings and occasionally weakly compatible mappings (OWC). We are also studying the well-posedness of Sm metric space. Further, some examples are presented to support our outcome.

scholarly journals Some results in multiplicative metric space using absorbing mappings

2020 ◽  
Vol 13 (39) ◽  
pp. 4161-4167
Author(s):  
B Vijayabaskerreddy
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Compatible Mappings ◽  
Multiplicative Metric Space

Objective/Aim: To generate three common fixed point results for four self mappings in complete multiplicative metric space (MMS). Method: The method involves applying of point wise absorbing mappings with different combinations such as complete subspace, reciprocally continuous and compatible mappings and semi-compatible mappings. Findings: All the results are supported by the provision of valid examples. Novelty/Improvement: The concept of reciprocally continuity along with semi compatible mappings is used which is weaker than the concept of continuity and compatibility.

scholarly journals On Fixed Point Findings for Diverse Contractions in b Dislocated-Multiplicative Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
A. Kamal ◽  
Asmaa M. Abd-Elal
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Research Study ◽  
Metric Spaces ◽  
Multiplicative Metric Spaces ◽  
Multiplicative Metric Space

In our present research study, we present the idea of b dislocated-multiplicative metric space (abbrev. b d -multiplicative metric space) that is generalization of b -multiplicative metric space and dislocated-multiplicative metric space. Furthermore, we prove some of the fixed point theorems in b d -multiplicative metric spaces. Also, we get common fixed point findings for fuzzy mappings in these spaces. Our findings are improved and more generalized form of several findings (see, e.g., [5, 6]).

ANALISIS BEBERAPA TEOREMA KETUNGGALAN TITIK TETAP DI RUANG METRIK MULTIPLIKATIF (MULTIPLICATIVE METRIC SPACES)

2018 ◽  
Vol 1 (1) ◽  
pp. 22
Author(s):  
Malahayati Malahayati
Keyword(s):  
Fixed Point ◽  
Uniqueness Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Continuous Functions ◽  
Uniqueness Theorems ◽  
Multiplicative Metric Spaces ◽  
Multiplicative Metric Space ◽  
Multiplicative Mapping

This research was conducted to analyze several theorems about fixed point uniqueness on multiplicative metric space. Firstly, the proof of fixed point uniqueness theorem on complete multiplicative metric space is analyzed with involving multiplicative continuous functions. Then, several fixed point uniqueness theorems is analyzed without involving multiplicative continuous functions. The proof of fixed point uniqueness theorem on complete multiplicative metric space with involving multiplicative continuous functions can be done without requirement of contraction multiplicative mapping. If this mapping is satisfying a condition with involving multiplicative continuous functions then it was proven that it had the unique fixed point. Furthermore, the proof of fixed point uniqueness theorem on complete multiplicative metric space without involving multiplicative continuous functions can be done by requiring the mapping is contraction.

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