scholarly journals Fixed point theorems to generalize FR- contraction mappings with application to nonlinear matrix equations

2021 ◽  
Vol 70 (2) ◽  
pp. 631-652
Author(s):  
Deepak KHANTWAL ◽  
Swati ANTAL ◽  
U.c. GAİROLA
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Matrix Equations ◽  
Contraction Mappings ◽  
Nonlinear Matrix

Fixed point theorems for $$F_\mathfrak {R}$$ F R -contractions with applications to solution of nonlinear matrix equations

2016 ◽  
Vol 19 (3) ◽  
pp. 1711-1725 ◽  
Author(s):  
Kanokwan Sawangsup ◽  
Wutiphol Sintunavarat ◽  
Antonio Francisco Roldán López de Hierro
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Matrix Equations ◽  
Nonlinear Matrix

scholarly journals Hybrid Coupled Fixed Point Theorems in Metric Spaces with Applications

2019 ◽  
Vol 2019 ◽  
pp. 1-15
Author(s):  
Muhammad Shoaib ◽  
Muhammad Sarwar ◽  
Thabet Abdeljawad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Coupled System ◽  
Matrix Equations ◽  
Common Coupled Fixed Point ◽  
Nonlinear Matrix ◽  
Two Hybrid ◽  
Coupled Coincidence

In this manuscript, using CLR property, coupled coincidence and common coupled fixed point results for two-hybrid pairs satisfying (F,φ)- contraction are demonstrated. Using the established results existence of solution to the coupled system of functional and nonlinear matrix equations is also discussed. We provide examples where the main theorem is applicable but most current relevant results in literature fail to have a common coupled fixed point.

scholarly journals Fixed Point Results for C -Contractive Mappings in Generalized Metric Spaces with a Graph

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Karim Chaira ◽  
Mustapha Kabil ◽  
Abdessamad Kamouss
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Space ◽  
Matrix Equations ◽  
Generalized Metric Spaces ◽  
Contraction Mappings ◽  
Contractive Mappings ◽  
Generalized Metric

In this paper, we establish fixed point theorems for Chatterjea contraction mappings on a generalized metric space endowed with a graph. Our results extend, generalize, and improve many of existing theorems in the literature. Moreover, some examples and an application to matrix equations are given to support our main result.

scholarly journals On (Λ,Υ,ℜ)-Contractions and Applications to Nonlinear Matrix Equations

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 443 ◽  
Author(s):  
Eskandar Ameer ◽  
Muhammad Nazam ◽  
Hassen Aydi ◽  
Muhammad Arshad ◽  
Nabil Mlaiki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Positive Definite Matrix ◽  
Positive Definite ◽  
Matrix Equations ◽  
Continuous Map ◽  
Comparison Functions ◽  
Hermitian Positive Definite Matrix ◽  
Nonlinear Matrix ◽  
Common Fixed Point Theorems

In this paper, we study the behavior of Λ , Υ , ℜ -contraction mappings under the effect of comparison functions and an arbitrary binary relation. We establish related common fixed point theorems. We explain the significance of our main theorem through examples and an application to a solution for the following nonlinear matrix equations: X = D + ∑ i = 1 n A i ∗ X A i − ∑ i = 1 n B i ∗ X B i X = D + ∑ i = 1 n A i ∗ γ X A i , where D is an Hermitian positive definite matrix, A i , B i are arbitrary p × p matrices and γ : H ( p ) → P ( p ) is an order preserving continuous map such that γ ( 0 ) = 0 . A numerical example is also presented to illustrate the theoretical findings.

scholarly journals Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 86 ◽  
Author(s):  
Eskandar Ameer ◽  
Hassen Aydi ◽  
Muhammad Arshad ◽  
Habes Alsamir ◽  
Mohd Noorani
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Metric Spaces ◽  
Matrix Equations ◽  
Existence Of A Solution ◽  
Contraction Mappings ◽  
Nonlinear Matrix ◽  
Set Up ◽  
Type Contraction

In this paper, we initiate the notion of generalized multivalued ( α K * , Υ , Λ ) -contractions and provide some new common fixed point results in the class of α K -complete partial b-metric spaces. The obtained results are an improvement of several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we present applications dealing with the existence of a solution for systems either of functional equations or of nonlinear matrix equations.

scholarly journals Some fixed point theorems in n-normed spaces

2020 ◽  
Vol 25 (3) ◽  
pp. 1-15 ◽  
Author(s):  
Hanan Sabah Lazam ◽  
Salwa Salman Abed
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Normed Space ◽  
Fixed Point Theorems ◽  
Normed Spaces ◽  
Weak Contraction ◽  
Contraction Mappings ◽  
Basic Properties ◽  
Definition Of

In this article, we recall the definition of a real n-normed space and some basic properties. fixed point theorems for types of Kannan, Chatterge, Zamfirescu, -Weak contraction and  - (,)-Weak contraction mappings in  Banach spaces.

scholarly journals On Best Proximity Points of Generalized Almost-F-Contraction Mappings

2019 ◽  
Vol 25 (1) ◽  
pp. 16-23
Author(s):  
Mahdi Salamatbakhsh ◽  
Robab Hamlbarani Haghi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Best Proximity Points ◽  
Contraction Mappings

We provide some results about best proximity points of generalized almost-$F$-contraction mappings in metric spaces which generalize and extend recent  fixed point theorems. Also, we give an example to illustrate  our main result.

scholarly journals Common Fixed-Point Results in Ordered Left (Right) Quasi- b -Metric Spaces and Applications

2020 ◽  
Vol 2020 ◽  
pp. 1-21
Author(s):  
Hemant Kumar Nashine ◽  
Sourav Shil ◽  
Hiranmoy Garai ◽  
Lakshmi Kanta Dey ◽  
Vahid Parvaneh
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Matrix Equations ◽  
Ordered Sets ◽  
Nonlinear Matrix ◽  
Fractional Differential ◽  
Left And Right

We use the notions of left- and right-complete quasi- b -metric spaces and partial ordered sets to obtain a couple of common fixed-point results for strictly weakly isotone increasing mappings and relatively weakly increasing mappings, which satisfy a pair of almost generalized contractive conditions. To illustrate our results, throughout the paper, we give several relevant examples. Further, we use our results to establish sufficient conditions for existence and uniqueness of solution of a system of nonlinear matrix equations and a pair of fractional differential equations. Finally, we provide a nontrivial example to validate the sufficient conditions for nonlinear matrix equations with numerical approximations.

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