Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces

The purpose of this paper is to study common fixed points in complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions.

Bibliographic Details
Main Authors: Nashine Hemant Kumar, Fisher Brian
Format: Article
Language:English
Published: Sciendo 2015-06-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.1515/auom-2015-0035
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author Nashine Hemant Kumar
Fisher Brian
author_facet Nashine Hemant Kumar
Fisher Brian
author_sort Nashine Hemant Kumar
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description The purpose of this paper is to study common fixed points in complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions.
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spelling doaj.art-095e9c93f9b240b1be47fa2d32c255982022-12-21T21:23:23ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352015-06-0123217918510.1515/auom-2015-0035Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spacesNashine Hemant Kumar0Fisher Brian1Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur-492101(Chhattisgarh), IndiaDepartment of Mathematics, University of Leicester, Leicester, United Kingdom of Great Britain and Northern IrelandThe purpose of this paper is to study common fixed points in complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions.https://doi.org/10.1515/auom-2015-0035common fixed pointcontractive type mappingcomplex valued metric space
spellingShingle Nashine Hemant Kumar
Fisher Brian
Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
common fixed point
contractive type mapping
complex valued metric space
title Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces
title_full Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces
title_fullStr Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces
title_full_unstemmed Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces
title_short Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces
title_sort common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces
topic common fixed point
contractive type mapping
complex valued metric space
url https://doi.org/10.1515/auom-2015-0035
work_keys_str_mv AT nashinehemantkumar commonfixedpointtheoremsforgeneralizedcontractioninvolvingrationalexpressionsincomplexvaluedmetricspaces
AT fisherbrian commonfixedpointtheoremsforgeneralizedcontractioninvolvingrationalexpressionsincomplexvaluedmetricspaces