Results 21 to 30 of about 14,032,665 (282)

Cyclic pairs and common best proximity points in uniformly convex Banach spaces [PDF]

open access: yesOpen Mathematics, 2017
In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa   +3 more
doaj   +3 more sources

A Common Best Proximity Point Theorem for Ï•-dominated Pair

open access: yesEuropean Journal of Pure and Applied Mathematics, 2018
In the present research, an interesting common best proximity point theorem for pairs of non-self-mappings is presented. It satises a weakly contraction-like condition, thereby producing common optimal approximate solutions of certain simultaneous xed ...
Mahdi Iranmanesh, Ali Ganjbakhsh Sanatee
semanticscholar   +3 more sources

Common Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
In this work, we provide the existence of common best proximity point for a given pair of non-self mappings in non-Archimedean neutrosophic complete metric spaces.
V. Pragadeeswarar, A. Sreelakshmi Unni
doaj   +2 more sources

Inertial Algorithm for Best Proximity Point, Split Variational Inclusion and Equilibrium Problems with Application to Image Restorations

open access: yesAxioms
If S and T are two non-self-mappings, then a solution of equation Sa*=Ta*=a* does not necessarily exist. The common best proximity point problem is to find the approximate optimal solution of such type of equation and have a key role in theory of ...
Mujahid Abbas   +2 more
doaj   +2 more sources

Some results on common best proximity point in fuzzy metric

open access: yesBoletim da Sociedade Paranaense de Matemática, 2017
In this paper, we dene the concepts of commute proximally, dominate prox- imally, weakly dominate proximally and common best proximity point in fuzzy metric space (abbreviated, FM -space).
H. Shayanpour, A. Nematizadeh
semanticscholar   +4 more sources

COMMON BEST PROXIMITY POINTS THEOREMS FOR H-CONTRACTIVE NON-SELF MAPPINGS

open access: yesAdvances in the Theory of Nonlinear Analysis and its Application, 2021
Fixed point theory and contractive mappings are popular tools in solving a variety of problems such as control theory, economic theory, nonlinear analysis and global analysis.There are many works on di erent types of contractions to nd a xed point in ...
Parvaneh Lo’lo’, Mehdi Shabibi
semanticscholar   +4 more sources

Some common best proximity point theorems via a fixed point theorem in metric spaces [PDF]

open access: yesFixed Point Theory, 2020
We prove that two common best proximity point theorems proved by Sadiq Basha [4] and by Mongkolkeha and Kumam [10] can be regarded as a direct consequence of Browder’s fixed point theorem [5].
P. Ardsalee, S. Saejung
semanticscholar   +2 more sources

Existence and Uniqueness of a Common Best Proximity Point on Fuzzy Metric Space [PDF]

open access: yesFuzzy Information and Engineering, 2019
In this paper, first we introduce the notion of proximally weakly compatible mappings and we extend the CLRg property (CLRg-Common limit in the range of g) to the case of non-self mappings.
V. Pragadeeswarar, R. Gopi
semanticscholar   +2 more sources

SOME RESULTS ON COMMON BEST PROXIMITY POINT AND COMMON FIXED POINT THEOREM IN PROBABILISTIC MENGER SPACE

open access: yesJournal of the Korean Mathematical Society, 2016
In this paper, we define the concepts of commute proximally, dominate proximally, weakly dominate proximally, proximal generalized φ-contraction and common best proximity point in probabilistic Menger space.
H. Shayanpour
semanticscholar   +3 more sources

New best proximity point theorems with applications to simultaneous generalizations of common fixed point theorems

open access: yesApplied Mathematical Sciences, 2017
In this work, we first introduce the concept of approximate sequence and establish some new convergence theorems for approximate sequences. By applying our new convergence theorems, we obtain new best proximity point theorems which improve and generalize
Wei-Shih Du
semanticscholar   +2 more sources

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