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 +3 more
openaire +2 more sources
Interpolative Ćirić-Reich-Rus-type best proximity point results with applications
AIMS Mathematics, 2022 In this paper, we introduce the notion of ω-interpolative Ćirić-Reich-Rus-type proximal contraction. We obtain some best proximity point results for these mappings using the concept of ω-admissibility in complete metric spaces.
Naeem Saleem +3 more
doaj +1 more source
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
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 +37 more
core +2 more sources
Some best proximity point results on best orbitally complete quasi metric spaces
AIMS Mathematics, 2023 In this paper, we first introduce the concepts of $ d $- and $ d^{-1} $-proximal Ćirić contraction mappings. Also, we present new definitions and notations by taking into account the lack of symmetry property of quasi-metric spaces.
Mustafa Aslantas +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
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
Best proximity point theorems for α-ψ-proximal contractions in intuitionistic fuzzy metric spaces [PDF]
, 2014 The aim of this paper is to introduce and study certain new concepts of α-ψ-proximal contractions in an intuitionistic fuzzy metric space. Then we establish certain best proximity point theorems for such proximal contractions in intuitionistic fuzzy ...
Abdul Latif +3 more
core +1 more source
Best proximity point results in set-valued analysis
Nonlinear Analysis, 2016 Here we introduce certain multivalued maps and use them to obtain minimum distance between two closed sets. It is a proximity point problem which is treated here as a problem of finding global optimal solutions of certain fixed point inclusions. It is an
Binayak S. Choudhury +2 more
doaj +1 more source
Some Common Best Proximity Point Results in Neutrosophic Complete Metric Spaces
MathematicsIn this research article, we prove the existence and uniqueness of common best proximity points for a given class of discontinuous mappings. For that, we have introduced the notions of neutrosophic proximally compatible mappings, neutrosophic proximally ...
Qiming Zhao +3 more
doaj +1 more source