Results 21 to 30 of about 62,103 (238)

Strong and weak convergence of Ishikawa iterations for best proximity pairs [PDF]

Open Mathematics, 2020
Let A and B be nonempty subsets of a normed linear space X. A mapping T : A ∪ B → A ∪ B is said to be a noncyclic relatively nonexpansive mapping if T(A) ⊆ A, T(B) ⊆ B and ∥Tx − Ty∥ ≤ ∥x − y∥ for all (x, y) ∈ A × B.
Gabeleh Moosa, Manna S. I. Ezhil, Eldred A. Anthony, Otafudu Olivier Olela   +3 more
doaj   +3 more sources

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

European 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 point equations.
Mahdi Iranmanesh, Ali Ganjbakhsh Sanatee
openalex   +4 more sources

Some Results on the Best Proximity Pair [PDF]

Abstract and Applied Analysis, 2011
We give some new conditions for existence and uniqueness of best proximity point. We also introduce the concept of strongly proximity pair and give some interesting results.
Mohammad Haddadi, Seyed Mohammad Moshtaghioun   +1 more
openalex   +4 more sources

Generalization of simulation functions for finding best proximity pair, best proximity point and best proximity coincidence point

Filomat
In the setup of metric spaces, many recent studies established a significant variety of control type mappings and illustrated some fixed point results. To represent various contractivity conditions, Khojasteh et al. have established the idea of a simulation function and came up with certain conclusions about the fixed point. For two nonlinear operators
P PaunovicMarija, Mohammad Haddadi, Vahid Parvaneh   +2 more
openalex   +3 more sources

Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps

Fixed Point Theory and Applications, 2008
We establish the existence of a best proximity pair for which the best proximity set is nonempty for a finite family of multimaps whose product is either an -multimap or a multimap such that both and are closed and have the KKM property for each ...
Al-Thagafi MA, Shahzad Naseer
doaj   +1 more source

Existence of generalized equilibrium pair in best proximity settings

Applied Mathematical Sciences, 2015
In this paper, using a general best proximity theorem, we will prove an existence theorem of equilibrium pair for a free n-person game, which generalizes the previous existence theorem of equilibrium pair for a free 1-person in [7].
Won Kyu Kim
openalex   +2 more sources

Modular best proximity and equilibrium pairs in free generalized games

Filomat, 2017
In this paper, we prove a fixed point theorem for ?-acyclic factorizable multifunction. Some existence theorems of general best proximity pairs and equilibrium pairs are presented in modular function spaces. Moreover, some equilibrium theorems are established for free generalized n-person game.
Nasrin Karamikabir, Farajollah Mohammadi Yaghoobi   +1 more
openalex   +4 more sources

Best proximity pair theorems for relatively nonexpansive mappings

Applied General Topology, 2009
The authors would like to thank the referee for useful comments and suggestions for the improvement of the paper. The first author acknowledges the Council of Scientific and Industrial Research(India) for the financial support provided in the form of a Junior Research Fellowship to carry out this research work.
V. Sankar Raj, P. Veeramani
openalex   +7 more sources

Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair [PDF]

International Journal of Mathematics and Mathematical Sciences, 2018
In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our results generalize and improve some known results in the literature.
Chalongchai Klanarong, Tanadon Chaobankoh   +1 more
openalex   +4 more sources

t-Best Proximity Pair in Fuzzy Normed Spaces

Journal of Mathematical Extension, 2014
This study has considered the problem of finding best proximity pair in fuzzy metric spaces and uniformly convex fuzzy Banach spaces for fuzzy cyclic contraction map. We prove the uniqueness of this point in uniformly fuzzy Banach spaces. We also give an algorithm to find a best proximity point for the map S in setting of a uniformly convex fuzzy ...
H. R. Khademzadeh, H. Mazaheri
openalex   +2 more sources