Results 21 to 30 of about 916,486 (287)

Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings

Journal of Mathematics, 2020
In this article, we study the Agarwal iterative process for finding fixed points and best proximity points of relatively nonexpansive mappings. Using the Von Neumann sequence, we establish the convergence result in a Hilbert space framework. We present a
Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad, Manuel De La Sen, Azhar Ulhaq   +4 more
doaj   +1 more source

Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2023
In this article, we find a priori and a posteriori error estimates of the fixed point for the Picard iteration associated with a noncyclic contraction map, which is defined on a uniformly convex Banach space with a modulus of convexity of power type.
A. Safari-Hafshejani
doaj   +1 more source

Proximally Compatible Mappings and Common Best Proximity Points [PDF]

Symmetry, 2020
The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of construction of sequences.
V. Pragadeeswarar, R. Gopi, M. De la Sen, Stojan Radenović   +3 more
openaire   +2 more sources

On best proximity points for set-valued contractions of Nadler type with respect to b-generalized pseudodistances in b-metric spaces [PDF]

, 2014
In this paper, in b-metric space, we introduce the concept of b-generalized pseudodistance which is an extension of the b-metric. Next, inspired by the ideas of Nadler (Pac. J. Math. 30:475-488, 1969) and Abkar and Gabeleh (Rev. R. Acad.
Plebaniak, Robert
core   +2 more sources

Condensing Mappings and Best Proximity Point Results

Journal of Mathematics, 2021
Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings.
Sarah O. Alshehri, Hamed H. Alsulami, Naseer Shahzad   +2 more
openaire   +2 more sources

Existence and Convergence Theorems of Best Proximity Points

Journal of Applied Mathematics, 2013
The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions.
Moosa Gabeleh, Naseer Shahzad
doaj   +1 more source

Multivalued SK-contractions with respect to b-generalized pseudodistances [PDF]

, 2015
A new class of multivalued non-self-mappings, called SK-contractions with respect to b-generalized pseudodistances, is introduced and used to investigate the existence of best proximity points by using an appropriate geometric property. Some new fixed
A Abkar, A Abkar, AA Eldred, B Damjanovic, D Tataru, E Karpinar, E Karpinar, I Valyi, K Wlodarczyk, K Wlodarczyk, K Wlodarczyk, K Wlodarczyk, L-J Lin, M Gabeleh, M Gabeleh, M Gabeleh, M Gabeleh, M Kikkawa, MA Al-Thagafi, MA Al-Thagafi, MA Khamsi, Moosa Gabeleh, MU Ali, O Kada, R Kannan, R Plebaniak, Robert Plebaniak, S Czerwik, S Reich, S Reich, S Reich, S Sadiq Basha, S Shukla, T Suzuki, T Suzuki, V Sankar Raj, WA Kirk, WA Kirk   +37 more
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Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings

Demonstratio Mathematica, 2020
In this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of ...
Gabeleh Moosa, Künzi Hans-Peter A.
doaj   +1 more source

Generalizations of Mana's iterative algorithm for best proximity points [PDF]

Journal of Mahani Mathematical Research
The main purpose of this paper is to consider the convergence of iterative algorithms for finding best proximity points for cyclic contractive mappings that is a new extension of the Mann iteration by dropping some additional assumptions.To this end, the
Mohammad Reza Haddadi, Marjan Aliyari
doaj   +1 more source

Best Proximity Point forα-ψ-Proximal Contractive Multimaps

Abstract and Applied Analysis, 2014
Extendemos las nociones de contracción α-ψ-proximal y admisibilidad α-proximal a mapas multivaluados y luego, utilizando estas nociones, obtenemos algunos de los mejores teoremas de puntos de proximidad para mapeos multivaluados. Nuestros resultados amplían algunos resultados recientes de Jleli y los que figuran en ellos. Algunos ejemplos se construyen
Muhammad Usman Ali, Tayyab Kamran, Naseer Shahzad   +2 more
openaire   +2 more sources