scholarly journals Common Fixed-Point Theorems of Generalized ψ , φ − Weakly Contractive Mappings in b − Metric-Like Spaces and Application

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Hongyan Guan ◽  
Jianju Li
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
System Of Integral Equations ◽  
Contractive Mappings ◽  
Weakly Contractive ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed-point theorems of generalized ψ , φ − weakly contractive mappings in b − metric-like spaces. We also give two examples to support our results. Meanwhile, we present an application to the existence of solutions for a system of integral equations by means of our results.

scholarly journals Some Coincidence and Common Fixed-Point Results on Cone b 2 -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Ziaul Islam ◽  
Muhammad Sarwar ◽  
Doaa Filali ◽  
Fahd Jarad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Infinite System ◽  
Metric Spaces ◽  
Banach Algebras ◽  
System Of Integral Equations ◽  
Different Types ◽  
Common Fixed Point Theorems

In this article, common fixed-point theorems for self-mappings under different types of generalized contractions in the context of the cone b 2 -metric space over the Banach algebra are discussed. The existence results obtained strengthen the ones mentioned previously in the literature. An example and an application to the infinite system of integral equations are also presented to validate the main results.

scholarly journals Generalized Contractive Mappings and Weaklyα-Admissible Pairs inG-Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
N. Hussain ◽  
V. Parvaneh ◽  
S. J. Hoseini Ghoncheh
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Periodic Points ◽  
Contractive Mappings ◽  
Admissible Pairs ◽  
Weakly Contractive ◽  
Common Fixed Point Theorems

The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ,φ)-contractive mappings using partially weaklyG-α-admissibility in the setup ofG-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially orderedG-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.

Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations

2016 ◽  
Vol 21 (6) ◽  
pp. 807-827 ◽  
Author(s):  
Chuanxi Zhu ◽  
◽  
Wenqing Xu ◽  
Tatjana Došenović ◽  
Zorana Golubović ◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Mappings ◽  
Partial Cone ◽  
Common Fixed Point Theorems

Fixed point results for nonlinear contractions with application to integral equations

2019 ◽  
Vol 12 (07) ◽  
pp. 2050007
Author(s):  
Rahul Shukla ◽  
Rajendra Pant
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
System Of Integral Equations ◽  
Common Fixed Point Theorems ◽  
Nonlinear Contractions

We present a number of fixed and common fixed point theorems for a class of nonlinear contractions in metric spaces and metric spaces endowed with graphs. Our results complement, extend and generalize a number of fixed point theorems including a recent fixed point theorem of Kim et al. [Suzuki-type of common fixed theorem in metric spaces, J. Nonlinear Convex Anal. 16 (2015) 1779–1786]. We also discuss an application to a system of integral equations.

scholarly journals Common Fixed Point Results for Generalized g − α s p , ψ , φ Contractive Mappings with Applications

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Jianju Li ◽  
Hongyan Guan
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
New Class ◽  
Contractive Mappings ◽  
Common Fixed Point Theorems

In this paper, we introduce a new class of g − α s p − admissible mappings and prove some common fixed point theorems involving this new class of mappings which satisfy generalized contractive conditions in the framework of b − metric spaces. We also provide two examples to show the applicability and validity of our results. Meanwhile, we present an application to the existence of solutions to an integral equation by means of one of our results.

scholarly journals Common fixed point theorems for a family of multivalued F-contractions with an application to solve a system of integral equations

2017 ◽  
Vol 52 (1) ◽  
pp. 163-177 ◽  
Author(s):  
Tayyab Kamran ◽  
◽  
Fahimuddin ◽  
Muhammad Usman Ali ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
System Of Integral Equations ◽  
Common Fixed Point Theorems

scholarly journals On Weakly -Contractive Mappings in Ordered Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Erdal Karapınar ◽  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Integral Type ◽  
Contractive Mappings ◽  
Partial Metric Spaces ◽  
Weakly Contractive ◽  
Common Fixed Point Theorems

We introduce the notion of weakly -contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of integral type as an application of our main theorem. Also, we give an example and an application of integral equation to support the useability of our results.

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