Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications

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.

Download Full-text

Related Fixed Point Theorems in Partially Ordered b -Metric Spaces and Applications to Integral Equations

Abstract and Applied Analysis ◽

10.1155/2021/6672724 ◽

2021 ◽

Vol 2021 ◽

pp. 1-14

Author(s):

Youssef Errai ◽

El Miloudi Marhrani ◽

Mohamed Aamri

Keyword(s):

Fixed Point ◽

Integral Equations ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Fixed Point Theory ◽

Research Paper ◽

Point Theory ◽

Partially Ordered ◽

Contractive Mappings ◽

Weakly Contractive

In this research paper, we have set some related fixed point results for generalized weakly contractive mappings defined in partially ordered complete b -metric spaces. Our results are an extension of previous authors who have already worked on fixed point theory in b -metric spaces. We state some examples and one sample of the application of the obtained results in integral equations, which support our results.

Download Full-text

Coincidence and common fixed point theorems for (ψ, φ) weakly contractive mappings in generalized metric spaces

Filomat ◽

10.2298/fil1308415c ◽

2013 ◽

Vol 27 (8) ◽

pp. 1415-1423 ◽

Cited By ~ 3

Author(s):

Nenad Cakic

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Generalized Metric Spaces ◽

Contractive Mappings ◽

Generalized Metric ◽

Weakly Contractive ◽

Common Fixed Point Theorems

Download Full-text

On Weakly -Contractive Mappings in Ordered Partial Metric Spaces

Abstract and Applied Analysis ◽

10.1155/2012/495892 ◽

2012 ◽

Vol 2012 ◽

pp. 1-17 ◽

Cited By ~ 1

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.

Download Full-text

Common fixed point theorems for generalized G- η-χ–contractive type mappings with applications

Boletim da Sociedade Paranaense de Matemática ◽

10.5269/bspm.v37i1.33610 ◽

2017 ◽

Vol 37 (1) ◽

pp. 9-20

Author(s):

Manoj Kumar ◽

Serkan Araci

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Contractive Mappings ◽

Nonlinear Anal ◽

Contractive Type ◽

Common Fixed Point Theorems

Samet et. al. (Nonlinear Anal. 75, 2012, 2154-2165) introduced the concept of alpha-psi-contractive type mappings in metric spaces. In 2013, Alghamdi et. al. [2] introduced the concept of G-β--contractive type mappings in G-metric spaces. Our aim is to introduce new concept of generalized G-η-χ-contractive pair of mappings. Further, we study some fixed point theorems for such mappings in complete G-metric spaces. As an application, we further establish common fixed point theorems for G-metric spaces for cyclic contractive mappings.

Download Full-text