scholarly journals Coupled best proximity point theorems for α-ψ-proximal contractive multimaps

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Jamnian Nantadilok
Keyword(s):  
Best Proximity Point ◽  
Coupled Best Proximity Point

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 Optimal solutions and applications to nonlinear matrix and integral equations via simulation function

Filomat ◽  
2018 ◽  
Vol 32 (17) ◽  
pp. 6087-6106 ◽  
Author(s):  
Azhar Hussain ◽  
Tanzeela Kanwal ◽  
Zoran Mitrovic ◽  
Stojan Radenovic
Keyword(s):  
Metric Spaces ◽  
Best Proximity Point ◽  
Optimal Solutions ◽  
Simulation Function ◽  
Nonlinear Matrix Equation ◽  
Positive Definite Solution ◽  
Nonlinear Matrix ◽  
The Given ◽  
Coupled Best Proximity Point ◽  
Definite Solution

Based on the concepts of ?-proximal admissible mappings and simulation function, we establish some best proximity point and coupled best proximity point results in the context of b-complete b-metric spaces. We also provide some concrete examples to illustrate the obtained results. Moreover, we prove the existence of the solution of nonlinear integral equation and positive definite solution of nonlinear matrix equation X = Q + ?m,i=1 A*i?(X)Ai-?m,i=1 B*i(X)Bi. The given results not only unify but also generalize a number of existing results on the topic in the corresponding literature.

scholarly journals The Existence and Uniqueness of Coupled Best Proximity Point for Proximally Coupled Contraction in a Complete Ordered Metric Space

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
V. Pragadeeswarar ◽  
M. Marudai ◽  
P. Kumam ◽  
K. Sitthithakerngkiet
Keyword(s):  
Metric Space ◽  
Existence And Uniqueness ◽  
Best Proximity Point ◽  
Ordered Metric Space ◽  
Coupled Best Proximity Point

We prove the existence and uniqueness of coupled best proximity point for mappings satisfying the proximally coupled contraction in a complete ordered metric space. Further, our result provides an extension of a result due to Bhaskar and Lakshmikantham.

Existence of best proximity points satisfying two constraint inequalities

2021 ◽  
pp. 2250104
Author(s):  
D. Balraj ◽  
J. Geno Kadwin ◽  
M. Marudai
Keyword(s):  
Partial Order ◽  
Critical Points ◽  
Metric Spaces ◽  
Best Proximity Point ◽  
Proximal Contraction ◽  
Best Proximity Points ◽  
Contraction Mappings ◽  
Constraint Inequalities ◽  
Coupled Best Proximity Point

In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint inequalities.

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