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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.21 No.3

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COMMON n-TUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER NEW CONTRACTIVE CONDITION

COMMON n-TUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER NEW CONTRACTIVE CONDITION

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.3, pp.165-181
https://doi.org/10.7468/jksmeb.2014.21.3.165
Deshpande, Bhavana (Department of Mathematics, Govt. Arts & Science P.G. College)
Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
Deshpande, Bhavana, & Handa, Amrish. (2014). COMMON n-TUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER NEW CONTRACTIVE CONDITION. 한국수학교육학회지시리즈B:순수및응용수학, 21(3), 165-181, https://doi.org/10.7468/jksmeb.2014.21.3.165

Abstract

We establish a common n-tupled fixed point theorem for hybrid pair of mappings under new contractive condition. It is to be noted that to find n-tupled coincidence point, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.

keywords
n-tupled fixed point, n-tupled coincidence point, w-compatible mappings, F-weakly commutativity

참고문헌

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S. Chandok, W. Sintunavarat & P. Kumam, Chandok et al.. (2013). Some coupled common fixed points for a pair of mappings in partially ordered G-metric spaces. Mathematical Sciences, 7, 24. 10.1186/2251-7456-7-24.

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B. Deshpande. (2007). Common fixed point for set and single valued functions without continuity and compatibility. Mathematica Moravica, 11, 27-38.

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B. Deshpande & A. Handa. (0000). Common n-tupled fixed point under generalized Mizoguchi-Takahashi contraction for hybrid pair of mappings. Southeast Asian Bull. Math., .

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I. Kubiaczyk & B. Deshpande. (2006). A common fixed point theorem for multivalued mappings through T-weak commutativity. Mathematica Moravica, 10, 55-60.

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V. Lakshmikantham & L. Ciric. (2009). Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Analysis: Theory, Method and Applications, 70(12), 4341-4349. 10.1016/j.na.2008.09.020.

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J.T. Markin. (1947). Continuous dependence of fixed point sets. Proc. Amer. Math. Soc., 38, 545-547.

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H. Rahimi, S. Radenovic, G. Soleimani Rad & P. Kumam. (2014). Quadrupled fixed point results in abstract metric spaces. Comp.Appl. Math., 33, 671-685. 10.1007/s40314-013-0088-5.

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S. Sharma & B. Deshpande. (2007). Fixed point theorems for set and single valued mappings without continuity and compatibility. Demonstratio Mathematica XL, (3), 649-658.

한국수학교육학회지시리즈B:순수및응용수학

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