scholarly journals Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 349 ◽  
Author(s):  
Erdal Karapınar ◽  
Chi-Ming Chen ◽  
Chih-Te Lee
Keyword(s):  
Recent Literature ◽  
Best Proximity Point ◽  
Cyclic Contraction ◽  
Cyclic Contractions

In this paper, we establish two best proximity point theorems in the setting of metric-like spaces that are based on cyclic contraction: Meir–Keeler–Kannan type cyclic contractions and a generalized Ćirić type cyclic φ -contraction via the MT -function. We express some examples to indicate the validity of the presented results. Our results unify and generalize a number of best proximity point results on the topic in the corresponding recent literature.

scholarly journals Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Chalongchai Klanarong ◽  
Tanadon Chaobankoh
Keyword(s):  
Metric Space ◽  
Best Proximity Point ◽  
Cyclic Contraction ◽  
Cyclic Contractions ◽  
New Type

In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our results generalize and improve some known results in the literature.

scholarly journals Coincidence best proximity point theorems for proximal Berinde g-cyclic contractions in metric spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Chalongchai Klanarong ◽  
Inthira Chaiya
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Best Proximity Point ◽  
Cyclic Contraction ◽  
Cyclic Contractions

AbstractIn this paper, we introduce the notions of proximal Berinde g-cyclic contractions of two non-self-mappings and proximal Berinde g-contractions, called proximal Berinde g-cyclic contraction of the first and second kind. Coincidence best proximity point theorems for these types of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our main results extend and generalize many existing results in the literature.

scholarly journals Development of a trunk motor paradigm for use in neuroimaging

2020 ◽  
Vol 11 (1) ◽  
pp. 193-200
Author(s):  
Elizabeth Saunders ◽  
Brian C. Clark ◽  
Leatha A. Clark ◽  
Dustin R. Grooms
Keyword(s):  
Motor Control ◽  
Maximum Voluntary Contraction ◽  
Voluntary Contraction ◽  
Erector Spinae ◽  
Head Motion ◽  
Low Back ◽  
Cyclic Contraction ◽  
Cyclic Contractions ◽  
Measurement Units ◽  
Healthy Participants

AbstractThe purpose of this study was to quantify head motion between isometric erector spinae (ES) contraction strategies, paradigms, and intensities in the development of a neuroimaging protocol for the study of neural activity associated with trunk motor control in individuals with low back pain. Ten healthy participants completed two contraction strategies; (1) a supine upper spine (US) press and (2) a supine lower extremity (LE) press. Each contraction strategy was performed at electromyographic (EMG) contraction intensities of 30, 40, 50, and 60% of an individually determined maximum voluntary contraction (MVC) (±10% range for each respective intensity) with real-time, EMG biofeedback. A cyclic contraction paradigm was performed at 30% of MVC with US and LE contraction strategies. Inertial measurement units (IMUs) quantified head motion to determine the viability of each paradigm for neuroimaging. US vs LE hold contractions induced no differences in head motion. Hold contractions elicited significantly less head motion relative to cyclic contractions. Contraction intensity increased head motion in a linear fashion with 30% MVC having the least head motion and 60% the highest. The LE hold contraction strategy, below 50% MVC, was found to be the most viable trunk motor control neuroimaging paradigm.

scholarly journals Some Random Coupled Best Proximity Points for a Generalized ω-Cyclic Contraction in Polish Spaces

2017 ◽  
Vol 59 (1) ◽  
pp. 91-105 ◽  
Author(s):  
C. Kongban ◽  
P. Kumam
Keyword(s):  
Metric Spaces ◽  
Best Proximity Point ◽  
Cyclic Contraction ◽  
Polish Spaces ◽  
Best Proximity Points ◽  
Coupled Best Proximity Point

AbstractIn this paper, we will introduce the concepts of a random coupled best proximity point and then we prove the existence of random coupled best proximity points in separable metric spaces. Our results extend the previous work of Akbar et al.[1].

scholarly journals Global optimal approximate solutions of best proximity points

Filomat ◽  
2021 ◽  
Vol 35 (5) ◽  
pp. 1555-1564
Author(s):  
Mohammad Haddadi ◽  
Vahid Parvaneh ◽  
Mohammad Mursaleen
Keyword(s):  
Fixed Point Theory ◽  
Best Proximity Point ◽  
Sufficient Conditions ◽  
Approximate Solutions ◽  
Point Theory ◽  
Cyclic Contraction ◽  
Best Proximity Points ◽  
Asymptotic Contraction ◽  
Global Optimal ◽  
Necessary And Sufficient

In this paper, we introduce the concept of contractive pair maps and give some necessary and sufficient conditions for existence and uniqueness of best proximity points for such pairs. In our approach, some conditions have been weakened. An application has been presented to demonstrate the usability of our results. Also, we introduce the concept of cyclic ?-contraction and cyclic asymptotic ?-contraction and give some existence and convergence theorems on best proximity point for cyclic ?-contraction and cyclic asymptotic ?-contraction mappings. The presented results extend, generalize and improve some known results from best proximity point theory and fixed-point theory.

scholarly journals BEST PROXIMITY POINT FOR CYCLIC CONTRACTION IN G-METRIC SPACE

2016 ◽  
Vol 12 (2) ◽  
pp. 1-6
Author(s):  
Gopal Meena ◽  
Kanhaiya Jha
Keyword(s):  
Metric Space ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Best Proximity Point ◽  
Subject Classification ◽  
Cyclic Contraction ◽  
Cyclic Contraction Mapping

In this paper, we introduce the results of best proximity point in G-metric spaces for the cyclic contraction mapping with an example that illustrates the usability of the obtained results.Mathematics Subject Classification: 41A65, 46B85, 47H25Kathmandu University Journal of Science, Engineering and TechnologyVol. 12, No. 2, 2016, page:1-6

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