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.

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 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]).

scholarly journals Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Mujahid Abbas ◽  
Manuel De la Sen ◽  
Talat Nazir
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Nonempty Subset ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Weakly Compatible ◽  
Multiplicative Metric Spaces ◽  
Multiplicative Metric Space ◽  
Rational Type

The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair of rational contractive types mappings involved in cocyclic representation of a nonempty subset of a multiplicative metric space are also obtained. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.

scholarly journals Results on common fixed points on complete metric spaces

1980 ◽  
Vol 21 (1) ◽  
pp. 165-167 ◽  
Author(s):  
Brian Fisher
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Common Fixed Points ◽  
Complete Metric Spaces ◽  
Image Position ◽  
Commuting Mappings ◽  
Unique Common Fixed Point

The following theorem was proved in [1].Theorem 1. Let S and T be continuous, commuting mappings of a complete, bounded metric space (X, d) into itself satisfying the inequalityfor all x, y in X, where 0≤c<1 and p, p′, q, q′≥0 are fixed integers with p+p′, q+q′≥1. Then S and T have a unique common fixed point z. Further, if p′ or q′ = 0, then z is the unique fixed point of S and if p or q = 0, then z is the unique fixed point of T.

scholarly journals Unique Fixed Point Theorem for Weakly C-Contractive Mappings

1970 ◽  
Vol 5 (1) ◽  
pp. 6-13 ◽  
Author(s):  
Binayak S Choudhury
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Complete Metric Spaces ◽  
Contractive Mappings ◽  
Engineering And Technology ◽  
Existing Result

In this work we introduce the class of weakly c-contractive mappings. We establish that these mappings necessarily have unique fixed points in complete metric spaces. We support our result by an example. Our result also generalises an existing result in metric spaces. Key words: Metric space; Fixed point; Weak C-contraction. M S C (2000): 54H25   DOI: 10.3126/kuset.v5i1.2842 Kathmandu University Journal of Science, Engineering and Technology Vol.5, No.1, January 2009, pp 6-13

scholarly journals Unification of the Fixed Point in Integral Type Metric Spaces

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 732 ◽  
Author(s):  
Panda Kumari ◽  
Badriah Alamri ◽  
Nawab Hussain ◽  
Sumit Chandok
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Triangle Inequality ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Integral Type ◽  
Predominant Role

In metric fixed point theory, the conditions like “symmetry” and “triangle inequality” play a predominant role. In this paper, we introduce a new kind of metric space by using symmetry, triangle inequality, and other conditions like self-distances are zero. In this paper, we introduce the weaker forms of integral type metric spaces, thereby we establish the existence of unique fixed point theorems. As usual, illustrations and counter examples are provided wherever necessary.

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.

scholarly journals More about metric spaces on which continuous functions are uniformly continuous

1986 ◽  
Vol 33 (3) ◽  
pp. 397-406 ◽  
Author(s):  
Gerald Beer
Keyword(s):  
Fixed Point ◽  
Continuous Function ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Continuous Functions ◽  
Function Form ◽  
Uniformly Continuous

An Atsuji space is a metric space X such that each continuous function form X to an arbitrary metric space Y is uniformly continuous. We here present (i) characterizations of metric spaces with Atsuji completions; (ii) Cantor-type theorems for Atsuji spaces; (iii) a fixed point theorem for self-maps of an Atsuji space.

scholarly journals Results on common fixed points on complete metric spaces

1980 ◽  
Vol 21 (2) ◽  
pp. 165-167
Author(s):  
Brian Fisher
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Common Fixed Points ◽  
Complete Metric Spaces ◽  
Image Position ◽  
Commuting Mappings ◽  
Unique Common Fixed Point

The following theorem was proved in [1].Theorem 1. Let S and T be continuous, commuting mappings of a complete, bounded metric space (X, d) into itself satisfying the inequalityfor all x, y in X, where 0 ≤ c < 1 and p, p′, q, q′ ≥ 0 are fixed integers with p + p′, q + q′ ≥ 1. Then S and T have a unique common fixed point z. Further, if p′ or q′ = 0, then z is the unique fixed point of S and if p or q = 0, then z is the unique fixed point of T.

scholarly journals Fixed Point Theorems and Iterative Function System in G-Metric Spaces

2019 ◽  
Vol 27 (2) ◽  
pp. 329-340
Author(s):  
Salwa Salman Abed ◽  
Anaam Neamah Faraj
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Complete Metric Space ◽  
Generalized Contraction ◽  
Numerical Examples ◽  
Iterated Function ◽  
Self Similar

Iterated function space is a method to construct fractals and the results are self-similar. In this paper, we introduce the Hutchinson Barnsley operator (shortly, operator) on a  metric space and employ its theory to construct a fractal set as its unique fixed point by using Ciric type generalized -contraction in complete metric space. In addition, some concepts are illustrated by numerical examples.

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