scholarly journals New Fixed Point Results via a Graph Structure

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 1013
Author(s):  
Özlem Acar ◽  
Hassen Aydi ◽  
Manuel De la Sen
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Graph Structure ◽  
Contraction Mappings ◽  
Multivalued Contraction

The main aim of this paper is to introduce and study some fixed point results for rational multivalued G-contraction and F-Khan-type multivalued contraction mappings on a metric space with a graph. At the end, we give an illustrative example.

scholarly journals Some Generalizations of Fixed Point Results for Multivalued Contraction Mappings

2011 ◽  
Vol 2011 ◽  
pp. 1-13
Author(s):  
A. Azizi ◽  
H. P. Masiha
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Complete Metric Space ◽  
Contraction Mappings ◽  
Multivalued Contraction ◽  
Contraction Type

We establish some fixed point results for multivalued contraction type mappings in terms of a w-distance in a complete metric space. Our results generalize very recent results of some authors (Ćirić, 2008, 2009; Feng and Liu 2006; Klim and Wardowski 2007; and Latif and Abdou 2011).

scholarly journals Multivalued weak cyclic δ-contraction mappings

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Pulak Konar ◽  
Samir Kumar Bhandari ◽  
Sumit Chandok ◽  
Aiman Mukheimer
Keyword(s):  
Fixed Point ◽  
Distance Function ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Cyclic Contraction ◽  
Contraction Mappings ◽  
Multivalued Contraction ◽  
New Type

AbstractIn this paper, we propose some new type of weak cyclic multivalued contraction mappings by generalizing the cyclic contraction using the δ-distance function. Several novel fixed point results are deduced for such class of weak cyclic multivalued mappings in the framework of metric spaces. Also, we construct some examples to validate the usability of the results. Various existing results of the literature are generalized.

scholarly journals Some Properties of Fixed Point for Contraction Mappings in Quasi 𝜶b-metric Space

2018 ◽  
Vol 979 ◽  
pp. 012068
Author(s):  
Budi Nurwahyu ◽  
Asriadi Nasrun ◽  
Naimah Aris
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Contraction Mappings

scholarly journals Higher Order of Convergence with Multivalued Contraction Mappings

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Jia-Bao Liu ◽  
Asma Rashid Butt ◽  
Shahzad Nadeem ◽  
Shahbaz Ali ◽  
Muhammad Shoaib
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Order Of Convergence ◽  
Higher Order ◽  
Gauge Function ◽  
Multivalued Mappings ◽  
Contraction Mappings ◽  
Multivalued Contraction ◽  
Integral Inclusion

In this paper, we establish some theorems of fixed point on multivalued mappings satisfying contraction mapping by using gauge function. Furthermore, we use Q - and R -order of convergence. Our main results extend many previous existing results in the literature. Consequently, to substantiate the validity of proposed method, we give its application in integral inclusion.

scholarly journals Some variants of Wardowski fixed point theorem

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Muhammad Nazam ◽  
Hassen Aydi ◽  
Choonkil Park ◽  
Muhammad Arshad ◽  
Ekrem Savas ◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Contraction Mappings

AbstractThe purpose of this paper is to consider some F-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point. The obtained results are extensions of several ones existing in the literature. Moreover, we present examples and an application to support our results.

scholarly journals Related Results to Hybrid Pair of Mappings and Applications in Bipolar Metric Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
G. N. V. Kishore ◽  
K. P. R. Rao ◽  
A. Sombabu ◽  
R. V. N. S. Rao
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Contractive Mapping ◽  
Mixed Monotone Property ◽  
Contraction Mappings ◽  
Monotone Property ◽  
Partially Ordered ◽  
Multivalued Contraction ◽  
Hybrid Pair

In this paper, we introduce the concept of multivalued contraction mappings in partially ordered bipolar metric spaces and establish the existence of unique coupled fixed point results for multivalued contractive mapping by using mixed monotone property in partially ordered bipolar metric spaces. Some interesting consequences of our results are obtained.

scholarly journals Some Fixed Point Results of Weak-Fuzzy Graphical Contraction Mappings with Application to Integral Equations

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 541
Author(s):  
Shamoona Jabeen ◽  
Zhiming Zheng ◽  
Mutti-Ur Rehman ◽  
Wei Wei ◽  
Jehad Alzabut
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Continuity Condition ◽  
Graph Structure ◽  
Cone Metric Spaces ◽  
Contraction Mappings ◽  
Cone Metric

The present paper aims to introduce the concept of weak-fuzzy contraction mappings in the graph structure within the context of fuzzy cone metric spaces. We prove some fixed point results endowed with a graph using weak-fuzzy contractions. By relaxing the continuity condition of mappings involved, our results enrich and generalize some well-known results in fixed point theory. With the help of new lemmas, our proofs are straight forward. We furnish the validity of our findings with appropriate examples. This approach is completely new and will be beneficial for the future aspects of the related study. We provide an application of integral equations to illustrate the usability of our theory.

scholarly journals Enriched Multivalued Contractions with Applications to Differential Inclusions and Dynamic Programming

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1350
Author(s):  
Mujahid Abbas ◽  
Rizwan Anjum ◽  
Vasile Berinde
Keyword(s):  
Dynamic Programming ◽  
Fixed Point ◽  
Differential Inclusions ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Point Problem ◽  
Fixed Point Set ◽  
Existence Of A Solution ◽  
Contraction Mappings ◽  
Multivalued Contraction

The purpose of this paper is to introduce the class of enriched multivalued contraction mappings. Both single-valued and multivalued enriched contractions are defined by means of symmetric inequalities. Our main result extends and generalizes the recent result of Berinde and Păcurar (Approximating fixed points of enriched contractions in Banach spaces, Journal of Fixed Point Theory and Applications, 22 (2), 1–10, 2020). We also study a data dependence problem of the fixed point set and Ulam–Hyers stability of the fixed point problem for enriched multivalued contraction mappings. Applications of the results obtained to the problem of the existence of a solution of differential inclusions and dynamic programming are presented.

Sign in / Sign up

Export Citation Format

Share Document