Random Best Proximity Points for <i>α</i>-Admissible Mappings via Simulation Functions

Random Best Proximity Points for <i>α</i>-Admissible Mappings via Simulation Functions

In this paper, we introduce a new concept of random <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>-proximal admissible and random <inline-formula> <math display="i...

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Main Authors: Chayut Kongban, Poom Kumam, Juan Martínez-Moreno
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Mathematics
Subjects:
random best proximity point
simulation function
admissible mapping
Online Access:https://www.mdpi.com/2227-7390/6/11/262
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spelling doaj-273188101b704ff591cfb9fb884d539b2020-11-24T20:57:44ZengMDPI AGMathematics2227-73902018-11-0161126210.3390/math6110262math6110262Random Best Proximity Points for <i>α</i>-Admissible Mappings via Simulation FunctionsChayut Kongban0Poom Kumam1Juan Martínez-Moreno2KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, ThailandKMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Experimental Science, University of Jaén, Campus Las Lagunillas, s/n, 23071 Jaén, SpainIn this paper, we introduce a new concept of random <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>-proximal admissible and random <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>-<inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">Z</mi> </semantics> </math> </inline-formula>-contraction. Then we establish random best proximity point theorems for such mapping in complete separable metric spaces.https://www.mdpi.com/2227-7390/6/11/262random best proximity pointsimulation functionadmissible mapping
collection DOAJ
language English
format Article
sources DOAJ
author Chayut Kongban
Poom Kumam
Juan Martínez-Moreno
spellingShingle Chayut Kongban
Poom Kumam
Juan Martínez-Moreno
Random Best Proximity Points for <i>α</i>-Admissible Mappings via Simulation Functions
Mathematics
random best proximity point
simulation function
admissible mapping
author_facet Chayut Kongban
Poom Kumam
Juan Martínez-Moreno
author_sort Chayut Kongban
title Random Best Proximity Points for <i>α</i>-Admissible Mappings via Simulation Functions
title_short Random Best Proximity Points for <i>α</i>-Admissible Mappings via Simulation Functions
title_full Random Best Proximity Points for <i>α</i>-Admissible Mappings via Simulation Functions
title_fullStr Random Best Proximity Points for <i>α</i>-Admissible Mappings via Simulation Functions
title_full_unstemmed Random Best Proximity Points for <i>α</i>-Admissible Mappings via Simulation Functions
title_sort random best proximity points for <i>α</i>-admissible mappings via simulation functions
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2018-11-01
description In this paper, we introduce a new concept of random <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>-proximal admissible and random <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>-<inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">Z</mi> </semantics> </math> </inline-formula>-contraction. Then we establish random best proximity point theorems for such mapping in complete separable metric spaces.
topic random best proximity point
simulation function
admissible mapping
url https://www.mdpi.com/2227-7390/6/11/262
work_keys_str_mv AT chayutkongban randombestproximitypointsforiaiadmissiblemappingsviasimulationfunctions
AT poomkumam randombestproximitypointsforiaiadmissiblemappingsviasimulationfunctions
AT juanmartinezmoreno randombestproximitypointsforiaiadmissiblemappingsviasimulationfunctions
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