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  • P-ISSN1226-0657
  • E-ISSN2287-6081
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ISSN : 1226-0657

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Vol.22 No.2

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EMPLOYING COMMON LIMIT RANGE PROPERTY WITH VARIANTS OF R-WEAKLY COMMUTING MAPPINGS IN METRIC SPACES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.2, pp.127-138
https://doi.org/10.7468/jksmeb.2015.22.2.127
CHAUHAN, SUNNY
VUJAKOVIC, JELENA
HAQ, SHAMSUL
CHAUHAN,, S. , VUJAKOVIC,, J. , & HAQ,, S. (2015). EMPLOYING COMMON LIMIT RANGE PROPERTY WITH VARIANTS OF R-WEAKLY COMMUTING MAPPINGS IN METRIC SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(2), 127-138, https://doi.org/10.7468/jksmeb.2015.22.2.127

Abstract

The object of this paper is to emphasize the role of 'common limit range property' and utilize the same with variants of R-weakly commuting mappings for the existence of common fixed point under strict contractive conditions in metric spaces. We also furnish some interesting examples to validate our main result. Our results improve a host of previously known results including the ones contained in Pant [Contractive conditions and common fixed points, Acta Math. Acad. Paedagog. Nyh&#xE0;zi. (N.S.) 24(2) (2008), 257-266 MR2461637 (2009h:54061)]. In the process, we also derive a fixed point result satisfying <TEX>$\phi$</TEX>-contractive condition.

keywords
metric space, R-weakly commuting mappings, R-weakly commuting mappings of type (Ag), R-weakly commuting mappings of type (Af ), R-weakly commuting mappings of type (P), property (E.A), common limit range property, fixed point

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