Results 21 to 30 of about 416,993 (285)
Best proximity pair and fixed point results for noncyclic mappings in modular spaces
Arab Journal of Mathematical Sciences, 2018 In this paper, we formulate best proximity pair theorems for noncyclic relatively ρ-nonexpansive mappings in modular spaces in the setting of proximal ρ-admissible sets.
Karim Chaira, Samih Lazaiz
doaj +2 more sources
Common best proximity points for a pair of mappings with certain dominating property [PDF]
Demonstratio Mathematica, 2023 This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points.
Charoensawan Phakdi +2 more
doaj +2 more sources
Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Open 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
BEST PROXIMITY PAIRS AND NASH EQUILIBRIUM PAIRS [PDF]
Journal of the Korean Mathematical Society, 2008 Main purpose of this paper is to combine the optimal form of Fan's best approximation theorem and Nash's equilibrium existence theorem into a single existence theorem simultaneously. For this, we first prove a general best proximity pair theorem which includes a number of known best proximity theorems.
Won-Kyu Kim, Sang-Ho Kum
openaire +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.
Iranmanesh, Mahdi +1 more
openaire +4 more sources
Existence of equilibrium pair in best proximity settings
Applied Mathematical Sciences, 2015 In this paper, using a best proximity theorem, we will prove a basic existence theorem of equilibrium pair for a free 1-person game which generalizes both xed point theorems and equilibrium existence theorems in best proximity settings.
Won Kyu Kim
openaire +2 more sources
Cyclic contractions and best proximity pair theorems [PDF]
, 2010 This paper has been ...
Kosuru, G. Sankara Raju, Veeramani, P.
openaire +3 more sources
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 +3 more
doaj +3 more sources
FilomatIn 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 +2 more
openaire +3 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.
Karamikabir, Nasrin +1 more
openaire +4 more sources