scholarly journals Fuzzy fixed point theorems for multivalued fuzzy contractions in b -metric spaces

2015 ◽  
Vol 08 (01) ◽  
pp. 55-63 ◽  
Author(s):  
Supak Phiangsungnoen ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Fixed Point

scholarly journals Common α -Fuzzy Fixed Point Results with Applications to Volterra Integral Inclusions

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Abdullah Eqal Al-Mazrooei ◽  
Jamshaid Ahmad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Fuzzy Fixed Point

The purpose of this paper is to establish some common α -fuzzy fixed point theorems for a pair fuzzy mappings and obtain some results of literature for multivalued mappings. For it, we define the notion of generalized Θ -contractions in the context of b -metric spaces. As applications, we investigate the solutions of Volterra integral inclusions by our established results.

scholarly journals Fuzzy fixed point theorems in Hausdorff fuzzy metric spaces

2014 ◽  
Vol 2014 (1) ◽  
pp. 201 ◽  
Author(s):  
Supak Phiangsungnoen ◽  
Wutiphol Sintunavarat ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Fuzzy Fixed Point

scholarly journals Common fuzzy fixed point theorems in ordered metric spaces

2011 ◽  
Vol 53 (9-10) ◽  
pp. 1737-1741 ◽  
Author(s):  
L. Ćirić ◽  
M. Abbas ◽  
B. Damjanović ◽  
R. Saadati
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Fuzzy Fixed Point

scholarly journals On Multivalued Fuzzy Contractions in Extended b -Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Nayab Alamgir ◽  
Quanita Kiran ◽  
Hassen Aydi ◽  
Yaé Ulrich Gaba
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Contraction Mappings ◽  
Nadler’S Fixed Point Theorem ◽  
The Family ◽  
Fuzzy Fixed Point

In this paper, we establish a Hausdorff metric over the family of nonempty closed subsets of an extended b -metric space. Thereafter, we introduce the concept of multivalued fuzzy contraction mappings and prove related α -fuzzy fixed point theorems in the context of extended b -metric spaces that generalize Nadler’s fixed point theorem as well as many preexisting results in the literature. Further, we establish α -fuzzy fixed point theorems for Ćirić type fuzzy contraction mappings as a generalization of previous results. Moreover, we give some examples to support the obtained results.

scholarly journals An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Muhammad Talha Waheed ◽  
Saif Ur Rehman ◽  
Naeem Jan ◽  
Abdu Gumaei ◽  
Mabrook Al-Rakhami
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Lebesgue Integral ◽  
Cone Metric Spaces ◽  
Main Work ◽  
Contractive Type ◽  
Fuzzy Fixed Point ◽  
Cone Metric

In the theory of fuzzy fixed point, many authors have been proved different contractive type fixed point results with different types of applications. In this paper, we establish some new fuzzy cone contractive type unique coupled fixed point theorems (FP-theorems) in fuzzy cone metric spaces (FCM-spaces) by using “the triangular property of fuzzy cone metric” and present illustrative examples to support our main work. In addition, we present a Lebesgue integral type mapping application to get the existence result of a unique coupled FP in FCM-spaces to validate our work.

scholarly journals Fuzzy fixed point theorems in ordered cone metric spaces

Filomat ◽  
2015 ◽  
Vol 29 (4) ◽  
pp. 887-896 ◽  
Author(s):  
Akbar Azam ◽  
Nayyar Mehmood ◽  
Maliha Rashid ◽  
Stojan Radenovic
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Fuzzy Fixed Point ◽  
Cone Metric

In this article we introduce the notion of the multivalued fuzzy mappings satisfying w.l.b property and l.b properties and prove some results for multivalued generalize contractive fuzzy mappings in ordered-cone metric spaces without the assumption of normality on cones. We generalize many results in literature.

scholarly journals Fuzzy Fixed Point Results in F-Metric Spaces with Applications

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Monairah Alansari ◽  
Shehu Shagari Mohammed ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Cauchy Problems ◽  
Research Directions ◽  
New Research ◽  
Fuzzy Fixed Point

In this paper, some concepts of F-metric spaces are used to study a few fuzzy fixed point theorems. Consequently, corresponding fixed point theorems of multivalued and single-valued mappings are discussed. Moreover, one of our obtained results is applied to establish some conditions for existence of solutions of fuzzy Cauchy problems. It is hoped that the established ideas in this work will awake new research directions in fuzzy fixed point theory and related hybrid models in the framework of F-metric spaces.

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

Some Fixed Point Theorems in G � Metric Spaces

2019 ◽  
Vol 10 (1) ◽  
pp. 151-158
Author(s):  
Bijay Kumar Singh ◽  
Pradeep Kumar Pathak
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces
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