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 Cyclic b -Multiplicative A , B -Hardy–Rogers-Type Local Contraction and Related Results in b -Multiplicative and b -Metric Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Abdullah Eqal Al-Mazrooei ◽  
Abdullah Shoaib ◽  
Jamshaid Ahmad
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Closed Set ◽  
Local Contraction ◽  
Multiplicative Metric Space

The aim of this paper is to define cyclic b -multiplicative Hardy–Rogers-type local contraction in the context of generalized spaces named as b -multiplicative spaces to extend various results of the literature including the main results of Yamaod et al. In this way, we apply a new generalized contractive condition only on a closed set instead of a whole set and by using b -multiplicative space instead of multiplicative metric space. We apply our results to obtain new results in b -metric spaces. Examples are given to show the usability of our results, when others cannot.

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.

On the existence of fixed points of two rational type contractions in a dislocated quasi multiplicative metric spaces and it's application

2017 ◽  
Vol 8 (1) ◽  
pp. 59
Author(s):  
Ahmed H. Soliman ◽  
M. A. Ahmed ◽  
A. M. Zidan
Keyword(s):  
Functional Equation ◽  
Fixed Points ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Uniqueness Of Solutions ◽  
Rational Contraction ◽  
Multiplicative Metric Spaces ◽  
Multiplicative Metric Space ◽  
Rational Type

In this work, firstly we establish the xed point point results for two rational contraction self-mappings on dislocated quasi multiplicative metric spaces (abbrev dq-multiplicative metric space). Finally in order to illustrate our results, we present the study about the existence and uniqueness of solutions of the functional equation.

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