scholarly journals Picard Sequence and Fixed Point Results onb-Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Marta Demma ◽  
Pasquale Vetro
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Picard Sequence

We obtain some fixed point results for single-valued and multivalued mappings in the setting of ab-metric space. These results are generalizations of the analogous ones recently proved by Khojasteh, Abbas, and Costache.

The Contraction Principle for Multivalued Mappings on a Modular Metric Space with a Graph

2016 ◽  
Vol 59 (01) ◽  
pp. 3-12 ◽  
Author(s):  
Monther Rashed Alfuraidan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Orlicz Spaces ◽  
Multivalued Mappings ◽  
Linear Spaces ◽  
Modular Metric Spaces ◽  
Modular Spaces

Abstract We study the existence of fixed points for contraction multivalued mappings in modular metric spaces endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. This paper can be seen as a generalization of Nadler and Edelstein’s fixed point theorems to modular metric spaces endowed with a graph.

scholarly journals Fixed Point Results for the Family of Multivalued F-Contractive Mappings on Closed Ball in Complete Dislocated b-Metric Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 56 ◽  
Author(s):  
Qasim Mahmood ◽  
Abdullah Shoaib ◽  
Tahair Rasham ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Metric Spaces ◽  
Closed Ball ◽  
Multivalued Mappings ◽  
System Of Integral Equations ◽  
Contractive Mappings ◽  
The Family ◽  
Rational Type

The purpose of this paper is to find out fixed point results for the family of multivalued mappings fulfilling a generalized rational type F-contractive conditions on a closed ball in complete dislocated b-metric space. An application to the system of integral equations is presented to show the novelty of our results. Our results extend several comparable results in the existing literature.

scholarly journals Some new types multivalued F-contractions on quasi metric spaces and their fixed points

2019 ◽  
Vol 35 (1) ◽  
pp. 41-50
Author(s):  
HATICE ASLAN HANCER ◽  
◽  
MURAT OLGUN ◽  
ISHAK ALTUN ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Fixed Point Result ◽  
Q Function

In this paper we present two new results for the existence of fixed points of multivalued mappings with closed values on quasi metric space. First we introduce the multivalued Fd-contraction on quasi metric space (X, d) and give a fixed point result related to this concept. Then taking into account the Q-function on a quasi metric space, we establish a Q-function version of this concept as multivalued Fq-contraction and hence we present a fixed point result to see the effect of Q-function to existence of fixed point of multivalued mappings on quasi metric space.

scholarly journals Fixed point theorems of generalized multi-valued mappings in cone b-metric spaces

2021 ◽  
Vol 25 (1) ◽  
pp. 31-45
Author(s):  
Mani Gunaseelan ◽  
Mishra Narayan ◽  
Mishra Narayan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Space Setting

The aim of this paper is to establish fixed points for multivalued mappings, by adapting the ideas in [1] to the cone b-metric space setting.

scholarly journals Multivalued generalizations of fixed point results in fuzzy metric spaces

2016 ◽  
Vol 21 (2) ◽  
pp. 211-22 ◽  
Author(s):  
Tatjana Došenovic ◽  
Dušan Rakic ◽  
Biljana Caric ◽  
Stojan Radenovic
Keyword(s):  
Fixed Point ◽  
Distance Function ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Multivalued Mappings ◽  
Altering Distance Function ◽  
Fuzzy Metric ◽  
Altering Distance ◽  
Theoretical Results

This paper attempts to prove fixed and coincidence point results in fuzzy metric space using multivalued mappings. Altering distance function and multivalued strong {bn}-fuzzy contraction are used in order to do that. Presented theorems are generalization of some well known single valued results. Two examples are given to support the theoretical results.

Coincidence of multivalued mappings on metric spaces with a graph

Filomat ◽  
2017 ◽  
Vol 31 (14) ◽  
pp. 4543-4554
Author(s):  
Muhammad Khana ◽  
Akbar Azam ◽  
Ljubisa Kocinac
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Integral Equations ◽  
Metric Space ◽  
Fractional Integral ◽  
Homotopy Theory ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Coincidence Points ◽  
Urysohn Integral Equations

In this article the coincidence points of a self mapping and a sequence of multivalued mappings are found using the graphic F-contraction. This generalizes Mizoguchi-Takahashi?s fixed point theorem for multivalued mappings on a metric space endowed with a graph. As applications we obtain a theorem in homotopy theory, an existence theorem for the solution of a system of Urysohn integral equations, and for the solution of a special type of fractional integral equations.

scholarly journals Multivalued contraction maps on fuzzy $ b $-metric spaces and an application

2022 ◽  
Vol 7 (4) ◽  
pp. 5925-5942
Author(s):  
Samina Batul ◽  
◽  
Faisar Mehmood ◽  
Azhar Hussain ◽  
Dur-e-Shehwar Sagheer ◽  
...  
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Existence Of A Solution ◽  
Multivalued Contraction ◽  
Integral Inclusion ◽  
Special Cases ◽  
Contraction Maps

<abstract><p>In this article, the concept of a Hausdorff fuzzy $ b $-metric space is introduced. The new notion is used to establish some fixed point results for multivalued mappings in $ G $-complete fuzzy $ b $-metric spaces satisfying a suitable requirement of contractiveness. An illustrative example is formulated to support the results. Eventually, an application for the existence of a solution for an integral inclusion is established which involves showing the materiality of the obtained results. These results are more general and some theorems proved by of Shehzad et al. are their special cases.</p></abstract>

scholarly journals Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Jamshaid Ahmad ◽  
Chakkrid Klin-Eam ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Contractive Mappings ◽  
Complex Valued Metric Space ◽  
Complex Valued ◽  
Common Fixed Point Theorems

In this paper, we introduce the notion of multivalued contractive mappings in complex valued metric space and prove common fixed point theorems for two multivalued contractive mappings in complex valued metric spaces without using the notion of continuity. Our results improve and extend the results of Azam et al. (2011).

scholarly journals Common fixed point of g-approximative multivalued mapping in partially ordered metric space

Filomat ◽  
2013 ◽  
Vol 27 (7) ◽  
pp. 1173-1182 ◽  
Author(s):  
Mujahid Abbas ◽  
Ali Erduran
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Multivalued Mapping ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Ordered Metric Space ◽  
Partially Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Partially Ordered

In this paper, we introduce g-approximative multivalued mappings. Based on this definition, we gave some new definitions. Further, common fixed point results for g-approximative multivalued mappings satisfying generalized contractive conditions are obtained in the setup of ordered metric spaces. Our results generalize Theorems 2.6-2.9 given in ([1]).

scholarly journals Generalized contraction involving an open ball and common fixed point of multivalued mappings in ordered dislocated quasi metric spaces

Filomat ◽  
2020 ◽  
Vol 34 (2) ◽  
pp. 323-338
Author(s):  
Abdullah Shoaib ◽  
Imran Khan ◽  
Hassan ul
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Open Ball ◽  
Generalized Contraction

The aim of this work is to obtain fixed point results for multivalued mappings satisfying generalized contractions on the intersection of an open ball and a sequence in left (right) K-sequentially complete ordered dislocated quasi metric space. An example has been built to demonstrate the novelty of results. Our results generalize and extend the results of Altun et al. (J. Funct. Spaces, Article ID 6759320, 2016)

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