[EN] In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces. Then an application of the main existence result to study the existence of an optimal solution for a system of differential equations is demonstrated.Gabeleh, M.; Patle, PR. (2022). Best proximity point (pair) results via MNC in Busemann convex metric spaces. Applied General Topology. 23(2):405-424. https://doi.org/10.4995/agt.2022.1400040542423
Let (X,d) be a metric space and A1, A2, ..., Ap be nonempty subsets of X. W...
In the current paper, we consider two classes of noncyclic mappings, called quasi-noncyclic relative...
The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,...
We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex B...
We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex B...
We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly con...
Let A and B be two nonempty subsets of a metric space X. A mapping T : A[B ! A[B is said to be nonc...
Given A and B two nonempty subsets in a metric space, a mapping T : A ∪ B → A ∪ B is relatively non...
In this paper we study the existence and uniqueness of best proximity points of cyclic contractions ...
Abstract. The purpose of this article is to generalized the result of W. S-intunavarat and P. Kumam ...
In this manuscript, p-cyclic orbital ϕ-contraction map over closed, nonempty, convex subsets of a un...
AbstractIn this manuscript, we proved that the existence of best proximity points for the cyclic ope...
AbstractLet us assume that A and B are non-empty subsets of a metric space. In view of the fact that...
We first consider a cyclic -contraction map on a reflexive Banach space and provide a positive a...
The purpose of this article is to generalized the result of W. Sintunavarat and P. Kumam [29]. We al...
Let (X,d) be a metric space and A1, A2, ..., Ap be nonempty subsets of X. W...
In the current paper, we consider two classes of noncyclic mappings, called quasi-noncyclic relative...
The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,...
We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex B...
We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex B...
We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly con...
Let A and B be two nonempty subsets of a metric space X. A mapping T : A[B ! A[B is said to be nonc...
Given A and B two nonempty subsets in a metric space, a mapping T : A ∪ B → A ∪ B is relatively non...
In this paper we study the existence and uniqueness of best proximity points of cyclic contractions ...
Abstract. The purpose of this article is to generalized the result of W. S-intunavarat and P. Kumam ...
In this manuscript, p-cyclic orbital ϕ-contraction map over closed, nonempty, convex subsets of a un...
AbstractIn this manuscript, we proved that the existence of best proximity points for the cyclic ope...
AbstractLet us assume that A and B are non-empty subsets of a metric space. In view of the fact that...
We first consider a cyclic -contraction map on a reflexive Banach space and provide a positive a...
The purpose of this article is to generalized the result of W. Sintunavarat and P. Kumam [29]. We al...
Let (X,d) be a metric space and A1, A2, ..., Ap be nonempty subsets of X. W...
In the current paper, we consider two classes of noncyclic mappings, called quasi-noncyclic relative...
The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,...