scholarly journals On new common fixed points of multivalued $$(\varUpsilon ,\varLambda )$$-contractions in complete b-metric spaces and related application

2019 ◽  
Vol 13 (4) ◽  
pp. 307-316 ◽  
Author(s):  
Eskandar Ameer ◽  
Muhammad Arshad ◽  
Nawab Hussain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Existence Of Solution ◽  
System Of Functional Equations ◽  
Related Application ◽  
Set Up

Abstract The aim of this paper is to introduce the concept of generalized multivalued $$\left( \varUpsilon ,\varLambda \right) $$Υ,Λ-contractions and generalized multivalued $$\left( \varUpsilon ,\varLambda \right) $$Υ,Λ -Suzuki contractions and introduce some new common fixed point results for such maps in complete b-metric spaces. Our results are an improvement of the Liu et al. fixed point theorem and several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we also discuss an application to existence of solution for system of functional equations.

Some new common fixed point theorems for contractive selfmappings with applications

2021 ◽  
pp. 2250080
Author(s):  
Youssef Touail ◽  
Driss El Moutawakil
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Topological Spaces ◽  
System Of Differential Equations ◽  
System Of Functional Equations ◽  
Common Fixed Point Theorems

In this paper, we first prove a new common fixed point in general topological spaces with a [Formula: see text]-distance. From this result, we establish two common fixed points for two new classes of contractive selfmappings in complete bounded metric spaces. Furthermore, an application to a system of differential equations and another to a system of functional equations arising in dynamic programming are given.

scholarly journals Common Fixed Point Theorems of Generalized Multivalued (ψ,ϕ)-Contractions in Complete Metric Spaces with Application

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 194 ◽  
Author(s):  
Eskandar Ameer ◽  
Muhammad Arshad ◽  
Dong Shin ◽  
Sungsik Yun
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Solution ◽  
Multivalued Mappings ◽  
System Of Functional Equations ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems

The purpose of this paper is to introduce the notion of generalized multivalued ψ , ϕ -type contractions and generalized multivalued ψ , ϕ -type Suzuki contractions and establish some new common fixed point theorems for such multivalued mappings in complete metric spaces. Our results are extension and improvement of the Suzuki and Nadler contraction theorems, Jleli and Samet, Piri and Kumam, Mizoguchi and Takahashi, and Liu et al. fixed point theorems. We provide an example for supporting our new results. Moreover, an application of our main result to the existence of solution of system of functional equations is also presented.

scholarly journals Common Fixed Point Theorems in Metric Spaces with Applications

2018 ◽  
Vol 11 (4) ◽  
pp. 1177-1190
Author(s):  
Pushpendra Semwal
Keyword(s):  
Dynamic Programming ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
System Of Functional Equations ◽  
Contractive Type ◽  
Common Fixed Point Theorems

In this paper we investigate the existence and uniqueness of common fixed point theorems for certain contractive type of mappings. As an application the existence and uniqueness of common solutions for a system of functional equations arising in dynamic programming are discuss by using the our results.

scholarly journals Some Common Fixed Points of Six Mappings on G_b-metric Spaces Using (E.A) Property

2018 ◽  
Vol 11 (1) ◽  
pp. 90 ◽  
Author(s):  
Zead Mustafa ◽  
M.M.M. Jaradat ◽  
Hassen Aydi ◽  
Ahmad Alrhayyel
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

The aim of this manuscript is to present a unique common fixed point theorem for six mappings satisfying $(\phi ,\psi )$-contractions using (E.A) property in the framework of $G_{b}$- metric spaces. An illustrative example is also given to justify the established result.

Study of Fixed Point Theorem for Common Limit Range Property and Application to Functional Equations

2014 ◽  
Vol 52 (1) ◽  
Author(s):  
Hemant Kumar Nashine
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Functional Equations ◽  
Uniqueness Of Solutions ◽  
System Of Functional Equations ◽  
Altering Distance ◽  
Common Limit ◽  
Common Limit Range Property

AbstractThe aim of our paper is to use common limit range property for two pairs of mappings deriving common fixed point results under a generalized altering distance function. Some examples are given to exhibit different type of situation which shows the requirements of conditions of our results. At the end the existence and uniqueness of solutions for certain system of functional equations arising in dynamic programming with the help of a common fixed point theorem is presented.

scholarly journals A New Nonlinear Contraction Principle in Partial Metric Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Yi Zhang ◽  
Jiang Zhu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Metric Spaces ◽  
Bounded Solution ◽  
Contraction Principle ◽  
Partial Metric ◽  
System Of Functional Equations ◽  
Nonlinear Contraction ◽  
Partial Metric Spaces

We present a new nonlinear contraction principle on partial metric spaces and prove the existence of common fixed point. We also give some examples to show our results and apply our results to study the existence of common bounded solution of the system of functional equations.

scholarly journals Generalized Contrcations on Dualistic Partial Metric Spaces

2016 ◽  
Author(s):  
Muhammad Nazam ◽  
Muhammad Arshad ◽  
Aftab Hussain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Functional Equations ◽  
Metric Spaces ◽  
Existence Of Solution ◽  
Partial Metric ◽  
Generalized Contraction ◽  
Partial Metric Spaces

We introduce the notion of generalized contraction on dualistic partial metric spaces. A fixed point theorem for mappings satisfying above mentioned contraction is obtained. Some consequences of our result are obtained. We construct an example to demonstrate the effectiveness of our result among the corresponding results in partial metric spaces. Our results provide substantial generalizations and improvements of several well known results existing in the comparable literature. We discuss an application of our fixed point results to show the existence of solution of functional equations.

scholarly journals Common Fixed Point Theorem via Cyclic (α,β)-(ψ,φ)S-Contraction with Applications

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 198
Author(s):  
Mian Zada ◽  
Muhammad Sarwar ◽  
Fahd Jarad ◽  
Thabet Abdeljawad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Rational Type ◽  
Type Contraction

In this paper, we introduce the notion of cyclic ( α , β ) - ( ψ , φ ) s -rational-type contraction in b-metric spaces, and using this contraction, we prove common fixed point theorems. Our work generalizes many existing results in the literature. In order to highlight the usefulness of our results, applications to functional equations are given.

scholarly journals Common fixed point under contractive condition of Ciric's type in cone metric spaces

2011 ◽  
Vol 5 (1) ◽  
pp. 159-164 ◽  
Author(s):  
Bessem Samet
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Uniform Spaces ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorem ◽  
Cone Metric

A common fixed point theorem is established for a pair of self-mappings of a complete cone metric space. The obtained result is an extension of Ljubomir Ciric?s theorem [Lj. Ciric: On common fixed points in uniform spaces, Publ. Inst. Math. 24 (38) (1978), 39[43].

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