Fixed Point Results for Multivalued Prešić type Weakly Contractive Mappings

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 601
Author(s):  
Abdul Latif ◽  
Talat Nazir ◽  
Mujahid Abbas
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Global Attractivity ◽  
Contractive Mappings ◽  
Type K ◽  
Matrix Difference Equations ◽  
The Stability ◽  
Weakly Contractive ◽  
Generalized Weakly Contraction ◽  
Fixed Point Sets

We present fixed points results of multivalued Prešić type k-step iterative mappings satisfying generalized weakly contraction conditions in metric spaces. An example is presented to support the main result proved herein. The stability of fixed point sets of multivalued Prešić type weakly contractive mappings are also established. Global attractivity result for the class of matrix difference equations is derived as application of the result presented herein. These results generalize and extend various comparable results in the existing literature.

scholarly journals Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Zhefu An ◽  
Mengyao Li ◽  
Liangshi Zhao
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Integral Type ◽  
Point Sets ◽  
Complete Metric Spaces ◽  
Contractive Mappings ◽  
The Stability ◽  
Fixed Point Sets

The existence and iterative approximations of fixed points concerning two classes of integral-type multivalued contractive mappings in complete metric spaces are proved, and the stability of fixed point sets relative to these multivalued contractive mappings is established. The results obtained in this article generalize and improve some known results in the literature. An illustrative example is given.

scholarly journals Extended partial b-metric spaces and some fixed point results

Filomat ◽  
2018 ◽  
Vol 32 (8) ◽  
pp. 2837-2850 ◽  
Author(s):  
V. Parvaneh ◽  
Z. Kadelburg
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Metric Spaces ◽  
Volterra Type ◽  
Fundamental Lemma ◽  
Contractive Mappings ◽  
Type Integral ◽  
Convergence Of Sequences ◽  
Weakly Contractive

In this paper, we introduce the concept of extended partial b-metric space. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Then we prove some fixed point results for weakly contractive mappings in the setup of ordered extended partial b-metric spaces. An example is given to verify the effectiveness and applicability of our main results. An application of these results to Volterra-type integral equations is provided at the end.

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.

scholarly journals Some Common Fixed Point Results in Rectangular Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Muhammad Arshad ◽  
Jamshaid Ahmad ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Contractive Mappings ◽  
Weakly Contractive ◽  
Unique Common Fixed Point

We obtain sufficient conditions for the existence of unique common fixed point of (ψ−ϕ)-weakly contractive mappings on complete rectangular metric spaces. In the process, we generalize several fixed point results from the literature. We also give an example to illustrate our work.

scholarly journals On Some Common Fixed Point Results for Weakly Contraction Mappings with Application

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Yan Hao ◽  
Hongyan Guan
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
New Class ◽  
Contractive Mappings ◽  
Weakly Contractive

In this paper, we introduce a new class of generalized weakly contractive mappings and prove common fixed point results by using different algorithms involving this new class of mappings in the framework of b -metric spaces, which generalize the results of Cho. We also provide two examples to show the applicability and validity of our results. As an application of our result, we obtain a solution to an integral equation. Our results extend and improve several comparable results in the existing literature.

scholarly journals A fixed point theorem for generalized weakly contractive mappings in b -metric spaces

2020 ◽  
Vol 4 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Eliyas Zinab ◽  
◽  
Kidane Koyas ◽  
Aynalem Girma ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Mappings ◽  
Weakly Contractive
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