Results 21 to 30 of about 173,800 (258)
Existence and Convergence Theorems of Best Proximity Points [PDF]
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. We also prove a convergence theorem of best proximity point for relatively nonexpansive mappings in uniformly convex Banach spaces.
Moosa Gabeleh, Naseer Shahzad
openaire +3 more sources
Best Proximity Point for Generalized and S-Geraphty Contractions
Abstract and Applied Analysis, 2021 This paper introduces a new class of mappings called S-Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized
Abdelhafid Bassou +2 more
doaj +1 more source
Best Proximity Points for Alternative Maps [PDF]
Symmetry, 2019 Let ( X , d ) be a metric space and Ω i , i = 1 , 2 , … , m , be a nonempty subset of ( X , d ) . An operator T : ∪ 1 ≤ i ≤ m Ω i → ∪ 1 ≤ i ≤ m Ω i is called an alternative map if T ( Ω j ) ⊆ ∪ i ≠ j Ω i , j = 1 , 2 , … , m . In addition, if for any x, y ∈ ∪ 1 ≤ i ≤ m Ω i , there exists a constant α ∈ [ 0 , 1 ) such that d ( T x , T y ) ≤ α d ( x , y )
openaire +1 more source
Existence of Best Proximity Point in O-CompleteMetric Spaces
Mathematics, 2023 In this work, we prove the existence of the best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O-complete metric space (orthogonal-complete metric space). Subsequently, these existence results are employed to establish
G. Poonguzali +2 more
doaj +1 more source
Optimal Solution for the System of Differential Inclusion in Hilbert Space [PDF]
Mathematics Interdisciplinary Research, 2021 In this paper, we study the existence of the following optimal solution for the system of differential inclusiony′ ∈ Φ(t,y(t)) a.e. t ∈ I = [t0,b] and y(t0) = u2,y′ ∈ Ψ(t,y(t)) a.e.
Zeinab Soltani, Marzie Darabi
doaj +1 more source
On best proximity points of interpolative proximal contractions
Quaestiones Mathematicae, 2020 In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ćirić and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As special cases we obtain some fixed point results for interpolative contractions. To support the theory, some examples are provided.
Ishak Altun, Ayşenur Taşdemir
openaire +2 more sources
SOME COMMENTS ON BEST PROXIMITY POINTS FOR ORDERED PROXIMAL CONTRACTIONS
Journal of Applied Analysis & Computation, 2022 Summary: In this article, we focus on the existence of an optimal approximate solution, designated as a best proximity point for non-self mappings which are ordered proximal contractions in the setting of partially ordered metric spaces and prove that these results are particular cases of existing fixed point theorems in the literature.
Gabeleh, Moosa +2 more
openaire +2 more sources
Best Proximity Point Theorem in Quasi-Pseudometric Spaces
Abstract and Applied Analysis, 2016 In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with respect to generalized ...
Robert Plebaniak
doaj +1 more source
Best Proximity Point for
Axioms, 2023 In this writing, first, we disclose the first and second category of a ΓτF-fuzzy proximal contraction for a mapping O:U→V which is nonself and also declare a fuzzy q-property to confirm the existence of the best proximity point for nonself function O ...
Uma Devi Patel +3 more
doaj +1 more source
Best Proximity Point Results in G-Metric Spaces
Abstract and Applied Analysis, 2014 G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish ...
N. Hussain, A. Latif, P. Salimi
doaj +1 more source