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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.23 No.1

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HUGE CONTRACTION ON PARTIALLY ORDERED 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
2016, v.23 no.1, pp.35-51
https://doi.org/10.7468/jksmeb.2016.23.1.35
DESHPANDE, BHAVANA
HANDA, AMRISH
KOTHARI, CHETNA
DESHPANDE,, B. , HANDA,, A. , & KOTHARI,, C. (2016). HUGE CONTRACTION ON PARTIALLY ORDERED METRIC SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 23(1), 35-51, https://doi.org/10.7468/jksmeb.2016.23.1.35

Abstract

We establish coincidence point theorem for g-nondecreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces. We also obtain the coupled coincidence point theorem for generalized compatible pair of mappings F, G : X<sup>2</sup> &#x2192; X by using obtained coincidence point results. Furthermore, an example is also given to demonstrate the degree of validity of our hypothesis. Our results generalize, modify, improve and sharpen several well-known results.

keywords
coincidence point, coupled coincidence point, generalized nonlinear contraction, partially ordered metric space, O-compatible, generalized compatibility, g-nondecreasing mapping, mixed monotone mapping, commuting mapping

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