Fixed point theorems of generalized multi-valued mappings in cone b-metric 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.

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A new Ф-generalized quasi metric space with some fixed point results and applications

Filomat ◽

10.2298/fil1711157a ◽

2017 ◽

Vol 31 (11) ◽

pp. 3157-3172

Author(s):

Mujahid Abbas ◽

Bahru Leyew ◽

Safeer Khan

Keyword(s):

Fixed Point ◽

Differential Equations ◽

Fixed Points ◽

Periodic Solutions ◽

Metric Space ◽

Delay Differential Equations ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Existence Of Periodic Solutions ◽

Delay Differential

In this paper, the concept of a new ?-generalized quasi metric space is introduced. A number of well-known quasi metric spaces are retrieved from ?-generalized quasi metric space. Some general fixed point theorems in a ?-generalized quasi metric spaces are proved, which generalize, modify and unify some existing fixed point theorems in the literature. We also give applications of our results to obtain fixed points for contraction mappings in the domain of words and to prove the existence of periodic solutions of delay differential equations.

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Fixed point theorems for expansive mappings in Gp-metric spaces

Creative Mathematics and Informatics ◽

10.37193/cmi.2017.03.07 ◽

2017 ◽

Vol 26 (3) ◽

pp. 297-308

Author(s):

MELTEM KAYA ◽

◽

HASAN FURKAN ◽

Keyword(s):

Fixed Point ◽

Fixed Points ◽

Common Fixed Point ◽

Metric Space ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Partial Metric ◽

Expansive Mapping ◽

Partial Metric Spaces ◽

Weak Compatibility

In the present paper, we adopt the concept of expansive mapping in the context of Gp-metric spaces in a similar manner expansive mapping in metric spaces. Furthermore, we obtain some results on fixed points of expansive type mappings. Also, we prove some common fixed point results for expansive mappings by using the notion of weak compatibility in Gp-metric space. Our results generalize some comparable results in metric spaces and partial metric spaces to Gp-metric spaces. Moreover, some examples are introduced in order to support our new results.

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Coincidences and fixed points of reciprocally continuous and compatible hybrid maps

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171202007536 ◽

2002 ◽

Vol 30 (10) ◽

pp. 627-635 ◽

Cited By ~ 5

Author(s):

S. L. Singh ◽

S. N. Mishra

Keyword(s):

Fixed Point ◽

Fixed Points ◽

Metric Space ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Fixed Point Theory ◽

Point Theory ◽

Multivalued Maps

It is proved that a pair of reciprocally continuous and nonvacuously compatible single-valued and multivalued maps on a metric space possesses a coincidence. Besides addressing two historical problems in fixed point theory, this result is applied to obtain new general coincidence and fixed point theorems for single-valued and multivalued maps on metric spaces under tight minimal conditions.

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

Carpathian Journal of Mathematics ◽

10.37193/cjm.2019.01.05 ◽

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.

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Fixed point theorems for almost contractions in generalized metric spaces

Creative Mathematics and Informatics ◽

10.37193/cmi.2014.01.05 ◽

2014 ◽

Vol 23 (1) ◽

pp. 65-72

Author(s):

LULJETA KIKINA ◽

◽

KRISTAQ KIKINA ◽

ILIR VARDHAMI ◽

◽

...

Keyword(s):

Fixed Point ◽

Metric Space ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Generalized Metric Space ◽

Generalized Metric Spaces ◽

Space Setting ◽

Generalized Metric

Fixed point theorems for almost contractions in generalized metric spaces are proved. The obtained results are extensions and generalizations, from metric space setting to generalized metric space setting, of many well-known fixed point theorems in literature.

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Fixed points for pairs of mappings indcomplete topological spaces

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171293000304 ◽

1993 ◽

Vol 16 (2) ◽

pp. 259-266 ◽

Cited By ~ 7

Author(s):

Troy L. Hicks ◽

B. E. Rhoades

Keyword(s):

Fixed Point ◽

Fixed Points ◽

Large Class ◽

Distance Function ◽

Metric Space ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Topological Spaces ◽

Triangular Inequality

Several important metric space fixed point theorems are proved for a large class of non-metric spaces. In some cases the metric space proofs need only minor changes. This is surprising since the distance function used need not be symmetric and need not satisfy the triangular inequality.

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

Abstract and Applied Analysis ◽

10.1155/2013/854965 ◽

2013 ◽

Vol 2013 ◽

pp. 1-12 ◽

Cited By ~ 6

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).

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Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

Abstract and Applied Analysis ◽

10.1155/2012/503504 ◽

2012 ◽

Vol 2012 ◽

pp. 1-14 ◽

Cited By ~ 3

Author(s):

Parin Chaipunya ◽

Chirasak Mongkolkeha ◽

Wutiphol Sintunavarat ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Fixed Points ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Multivalued Mappings ◽

Modular Metric Spaces ◽

Contraction Type ◽

The Stability

We give some initial properties of a subset of modular metric spaces and introduce some fixed-point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.

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n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application

Advances in Fuzzy Systems ◽

10.1155/2015/285149 ◽

2015 ◽

Vol 2015 ◽

pp. 1-12

Author(s):

P. P. Murthy ◽

Rashmi Kenvat

Keyword(s):

Fixed Point ◽

Positive Integer ◽

Fixed Points ◽

Metric Space ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Fuzzy Metric Space ◽

Fuzzy Metric Spaces ◽

Fuzzy Metric ◽

Contractive Type

We will introduce the concept ofn-tupled fixed points (for positive integern) in fuzzy metric space by mild modification of the concept ofn-tupled fixed points (for even positive intergern) introduced by Imdad et al. (2013) in metric spaces. As application of the above-mentioned concept, we will establish somen-tupled fixed point theorems for contractive type mappings in fuzzy metric space which extends the result of Roldán et al. (2013). Also we have given an application to solve a kind of Lipschitzian systems fornvariables and an integral system.

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