Graphic Contraction Mappings via Graphical b-Metric Spaces with Applications

2018 ◽  
Vol 42 (6) ◽  
pp. 3149-3165 ◽  
Author(s):  
Nantaporn Chuensupantharat ◽  
Poom Kumam ◽  
Varsha Chauhan ◽  
Deepak Singh ◽  
Radhika Menon
Keyword(s):  
Metric Spaces ◽  
Contraction Mappings ◽  
Graphic Contraction

scholarly journals Multivalued weak cyclic δ-contraction mappings

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Pulak Konar ◽  
Samir Kumar Bhandari ◽  
Sumit Chandok ◽  
Aiman Mukheimer
Keyword(s):  
Fixed Point ◽  
Distance Function ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Cyclic Contraction ◽  
Contraction Mappings ◽  
Multivalued Contraction ◽  
New Type

AbstractIn this paper, we propose some new type of weak cyclic multivalued contraction mappings by generalizing the cyclic contraction using the δ-distance function. Several novel fixed point results are deduced for such class of weak cyclic multivalued mappings in the framework of metric spaces. Also, we construct some examples to validate the usability of the results. Various existing results of the literature are generalized.

SOME FIXED POINT RESULTS FOR A GENERALIZED $\psi$-WEAK CONTRACTION MAPPINGS IN b-METRIC SPACES

2021 ◽  
Vol 10 (5) ◽  
pp. 2449-2468
Author(s):  
E. Bashayreh ◽  
A. Talafhah ◽  
W. Shatanawi
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Weak Contraction ◽  
Contraction Mappings

In this paper, we will present the definitions and notation of generalized $\psi$-weak contraction mappings in b-metric spaces, and establish some results besides the most important properties of fixed point in orbitally complete b-metric spaces. Our results generalize several well-known comparable results in the literature. As an application of our results we generalize the results of Shatanawi [7]. Some examples are given to illustrate the useability of our results.

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 Some Results on (s − q)-Graphic Contraction Mappings in b-Metric-Like Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1190 ◽  
Author(s):  
Manuel De la Sen ◽  
Nebojša Nikolić ◽  
Tatjana Došenović ◽  
Mirjana Pavlović ◽  
Stojan Radenović
Keyword(s):  
Contraction Mapping ◽  
New Approach ◽  
Contraction Mappings ◽  
Graphic Contraction ◽  
Picard Sequence ◽  
Theoretical Results

In this paper we consider ( s − q ) -graphic contraction mapping in b-metric like spaces. By using our new approach for the proof that a Picard sequence is Cauchy in the context of b-metric-like space, our results generalize, improve and complement several approaches in the existing literature. Moreover, some examples are presented here to illustrate the usability of the obtained theoretical results.

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