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

ISSN : 1226-0657

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Vol.21 No.1

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TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTION

TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTION

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2014, v.21 no.1, pp.23-38
https://doi.org/10.7468/jksmeb.2014.21.1.23
Deshpande, Bhavana (Department of Mathematics, Govt. Arts & Science P.G. College)
Sharma, Sushil (Department of Mathematics, Govt. P. G. Madhav Science College)
Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
Deshpande, Bhavana, Sharma, Sushil, & Handa, Amrish. (2014). TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTION. 한국수학교육학회지시리즈B:순수및응용수학, 21(1), 23-38, https://doi.org/10.7468/jksmeb.2014.21.1.23

Abstract

In this paper, we introduce the concept of w¡compatibility and weakly commutativity for hybrid pair of mappings <TEX>$F:X{\times}X{\times}X{\rightarrow}2^X$</TEX> and <TEX>$g:X{\rightarrow}X$</TEX> and establish a common tripled fixed point theorem under generalized nonlinear contraction. An example is also given to validate our result. We improve, extend and generalize various known results.

keywords
tripled fixed point, tripled coincidence point, generalized nonlinear contraction

참고문헌

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한국수학교육학회지시리즈B:순수및응용수학

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