Results 1 to 10 of about 151,058 (129)
Axioms, 2020 In this paper, we study a problem of global optimization using common best proximity point of a pair of multivalued mappings. First, we introduce a multivalued Banach-type contractive pair of mappings and establish criteria for the existence of their ...
Pradip Debnath, Hari Mohan Srivastava
doaj +4 more sources
Abstract and Applied Analysis, 2022 In this paper, common best proximity point theorems for weakly contractive mapping in b-metric spaces in the cases of nonself-mappings are proved; we introduced the notion of generalized proximal weakly contractive mappings in b-metric spaces and proved ...
Yohannes Gebru, Yitages Negede
doaj +2 more sources
Common best proximity point theorems for certain types of mappings [PDF]
Mathematica BohemicaLet $S$ and $T$ be two single-valued non-self-mappings from a nonempty set $\mathcal{P}$ to another nonempty set $\mathcal{Q}$. As they are non-self-mappings, the equations $Sx=x$ and $Tx=x$ do not have a common solution. In other words, they do not have
Arunachalam Murali, Krishnan Muthunagai
doaj +2 more sources
Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs
Journal of Function Spaces, 2021 In this paper, we introduce a notion of G-proximal edge preserving and dominating G-proximal Geraghty for a pair of mappings, which will be used to present some existence and uniqueness results for common best proximity points.
Chaiporn Thangthong +3 more
doaj +2 more sources
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 +2 more sources
Common best proximity point theorems in Hausdorff topological spaces
Journal of Inequalities and ApplicationsIn the present paper, we have obtained common best proximity point theorems of nonself maps in Hausdorff topological space. Further, our results extend the results due to Gerald F.
A. Sreelakshmi Unni, V. Pragadeeswarar
doaj +2 more sources
Common best proximity point theorem for multivalued mappings in partially ordered metric spaces
Fixed Point Theory and Applications, 2017 In this paper, we prove the existence of a common best proximity point for a pair of multivalued non-self mappings in partially ordered metric spaces. Also, we provide some interesting examples to illustrate our main results.
V Pragadeeswarar +3 more
doaj +3 more sources
MathematicsIn this paper, we initiate a concept of graph-proximal functions. Furthermore, we give a notion of being generalized Geraghty dominating for a pair of mappings.
Watchareepan Atiponrat +4 more
doaj +2 more sources
Fixed Point Theory and Algorithms for Sciences and EngineeringIn partial ♭-metric spaces, we first define F ρ ♭ $F_{\rho \flat}$ -weak contraction mappings and develop fixed point theorems in these mappings.
Asaye Ayele, Kidane Koyas
doaj +2 more sources
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 +2 more sources