Results 11 to 20 of about 53,002 (201)

Best Proximity and Coupled Best Proximity Points OF ( Psi-Phi-Theta )-Almost Weakly Contractive Maps IN Partially Ordered Metric Space [PDF]

Facta Universitatis Series Mathematics and Informatics, 2017
In this paper we obtain some best proximity point results using almost contractive condition with three control functions (in which two of them need not be continuous) in partially ordered metric spaces. As an application, we prove coupled best proximity theorems.
Babu, Venkata Ravindranadh Gutti, Leta, Bekere Kumssa   +1 more
exaly   +3 more sources

Existence of coupled coincidence best proximity point [PDF]

Surveys in Mathematics and its Applications
This work of optimality is engaged with couple coincidence best proximity point. We have developed some optimal results where control functions and non-linear weak inequalities are evident. Further using our results, we establish some fixed point results.
Pulak Konar, Sumit Chandok
doaj   +2 more sources

Coupled coincidence best proximity point results for generalized Ciric contractions

AIP Advances
In this paper, we define a generalized Ćiric contraction with respect to ℸ and prove some coupled coincidence best proximity point results in the setting of complete metric spaces.
Nawab Hussain, Asim Asiri, Naeem Shafqat, Aftab Hussain, Zubair Anees   +4 more
doaj   +2 more sources

Best Proximity Point and Best Proximity Coupled Point in a Complete Metric Space With (P)-Property

Filomat, 2015
In this paper, we utilize the concept of (P)-property, weak (P)-property and the comparison function to introduce and prove an existence and uniqueness theorem of a best proximity point. Also, we introduce the notion of a best proximity coupled point of a mapping F: X x X ? X.
Wasfi Shatanawi, Ariana Pitea
exaly   +3 more sources

Coupled Best Proximity Point Theorem for Integral Type With Metric Space

International Journal of Mathematics and Computer Research
We introduce a coupled best proximity point theorem for cyclic contractions of integral type in metric spaces. Our results extend existing best proximity point theory and are supported by illustrative examples.
Dr. Rashmi M. Kenvat, Laxmi G.Bichhal
exaly   +2 more sources

Some strong coupled coincidence and coupled best proximity results on complete metric spaces

Journal of Inequalities and Applications
In this paper, the concept of Wardowski’s class of contraction is integrated with that of g-coupling to define some F-contractive type g-couplings. We establish existence results for a coupled coincidence point, a strong coupled coincidence point, and a ...
Dakjum Eshi, Bipan Hazarika, Nipen Saikia, Sarah Aljohani, Sumati Kumari Panda, Ahmad Aloqaily, Nabil Mlaiki   +6 more
doaj   +2 more sources

On some application on coupled and best proximity points theorems [PDF]

AIP Conference Proceedings, 2021
We enrich the known applications of coupled best proximity points theorems for ordered pair (F; G) of cyclic contraction maps. We present a procedure to construct such pairs of cyclic contraction maps that will give the best possible rate of convergence, when solving linear systems. We give numerical computations for the a priori and a posteriori error
Miroslav Hristov, Atanas Ilchev, Boyan Zlatanov   +2 more
openaire   +1 more source

Existence and stability of solutions of a global setvalued optimization problem [PDF]

Yugoslav Journal of Operations Research, 2022
In this paper we consider a best proximity point problem whose purpose is to determine the minimum distance between two sets. It is a global optimization problem by its very nature which is solved by converting it into a problem of finding an optimal ...
Choudhury Binayak S., Metiya Nikhilesh, Kundu Sunirmal, Maity Pranati   +3 more
doaj   +1 more source

Coupled Optimal Results with an Application to Nonlinear Integral Equations

Axioms, 2021
In the present work, we consider the best proximal problem related to a coupled mapping, which we define using control functions and weak inequalities. As a consequence, we obtain some results on coupled fixed points.
Pulak Konar, Sumit Chandok, Shrutinil Dutta, Manuel De la Sen   +3 more
doaj   +1 more source

A discussion on best proximity point and coupled best proximity point in partially ordered metric spaces [PDF]

Fixed Point Theory and Applications, 2015
AbstractIn this paper we establish some best proximity point results using generalized weak contractions with discontinuous control functions. The theorems are established in metric spaces with a partial order. We view the main problem in the paper as a problem of finding an optimal approximate solution of a fixed point equation.
Choudhury, Binayak S, Metiya, Nikhilesh, Postolache, Mihai, Konar, Pulak   +3 more
openaire   +2 more sources