본문 바로가기
KERD
논문KCI 등재

COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES

Bhavana Deshpande|Sushil Sharma|Rashmi Tiwari
한국수학교육학회|2008.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제15권 제2호|pp. 135-151

4

조회

0

다운로드

4

인용

0

참고문헌

키워드

Menger spaceweakly compatible mapscommon ¯xed point.
주제분류수학

초록

The purpose of this paper is to prove some common ¯xed point theo- rems for ¯nite number of discontinuous, noncompatible mappings on noncomplete Menger spaces. Our results extend, improve and generalize several known results in Menger spaces. We give formulas for total number of commutativity conditions for ¯nite number of mappings.

Abstract

The purpose of this paper is to prove some common ¯xed point theo- rems for ¯nite number of discontinuous, noncompatible mappings on noncomplete Menger spaces. Our results extend, improve and generalize several known results in Menger spaces. We give formulas for total number of commutativity conditions for ¯nite number of mappings.

참고문헌 (27)

  1. C. Bylka, "Fixed point theorems of Matkowski on probabilistic metric spaces", Demonstratio Math, 29, pp.158~164 (1996)
  2. Y.J. Cho, "Compatible mappings of type (A) and common ¯xed points in Menger spaces", Com. Korean Math. J, 7, pp.325~339 (1992)
  3. R. Dedeic, "A common fixed point theorem for three mappings on Menger spaces", Math. Japonica, 34(6), pp.919~923 (1989)
  4. O. Hadzic, "A fixed point theorem in Menger spaces", Publ. Inst. Math. Beograd, 20, pp.107~112 (1979)
  5. O. Hadzic, "Some theorems on the fixed points in probabilistic metric and Random normed spaces", Boll. Un. Mat. Ital, 13(5), pp.1~11 (1981)
  6. O. Hadgic, "Common fixed point theorems for families of mapping in complete metric space", Math. Japon, 29, pp.127~134 (1984)
  7. G. Jungck, "Commuting maps and fixed points", Amer. Math. Mon, 83, pp.261~263 (1976)
  8. G. Jungck, "Compatible mappings and common fixed points", Int. J. Math. Math. Sci, 9, pp.771~779 (1986)
  9. G. Jungck, "Compatible mappings and common fixed points (2)", Internat. J. Math. Math. Sci, pp.285~288 (1988)
  10. G. Jungck, "Fixed point for set valued functions without continuity", Ind. J. Pure Appl. Math, 29(3), pp.227~238 (1998)
  11. K. Menger, "Statistical metric", Proc. Nat. Acad. Sci. USA, 28, pp.535~537 (1942)
  12. S.N. Mishr, "Common fixed points of compatible mappings in PM-spaces", Math. Japonica, 26(2), pp.283~289 (1991)
  13. H.K. Pathak, "Weak compatible mappings of type (A) and common fixed point in Menger spaces", Comm. Korean Math. Soc, 10(1), pp.67~83 (1995)
  14. V. Radu, "On some contraction principle in Menger spaces", An Univ. Timisoara Stiinte Math, 22, pp.83~88 (1984)
  15. V. Radu, "On some contraction type mappings in Menger spaces", An Univ. Timisoara Stiinte Math, 23, pp.61~65 (1985)
  16. R.A. Rashwan, "On common fixed point theorems of compatible mappings in Menger spaces", Demonstratio Math, 31(3), pp.537~546 (1998)
  17. B. Schweizer, "Statistical metric spaces", Pacific J. Math, 10, pp.313~334 (1960)
  18. B. Schweizer, "Statistical metric spaces. North-Holland Series in Probability and Applied Mathematics 5" (1983), North Holland
  19. S. Sessa, "On a weak commutativity condition of mappings in fixed point considerations", Publ. Inst. Math, 32(46), pp.149~153 (1982)
  20. V.M. Sehgal, "Fixed points of contraction mappings on probabilistic metric spaces", Math. System Theory, 6, pp.97~102 (1972)
  21. S. Sharma, "Common fixed point theorem for six mappings in Menger space. Fasculi Mathematici, Accepted for publication", ~
  22. S. Sharma, "Common fixed point theorems for weakly compatible mappings without continuity in Menger spaces", Pure Appl. Math, 10(2), pp.133~144 (2003)
  23. S.L. Singh, "Common fixed point theorems in probabilistic metric spaces and extension to uniform spaces", Honam Math. J, 6, pp.1~12 (1984)
  24. M. Stojakovic, "Fixed point theorem in probabilistic metric spaces", Kobe J. Math, 2, pp.1~9 (1985)
  25. M. Stojakovic, "Common fixed point theorems in complete metric and probabilistic metric spaces", Bull. Austral. Math. Soc, 36, pp.73~88 (1987)
  26. M. Stojakovic, "A common fixed point theorem in probabilistic metric spaces and its applications", Glasnik Mat, 23, pp.203~211 (1988)
  27. D. Xieping, "Common fixed point theorem of commuting mappings in PM-spaces", Kexue Tongbao, 29, pp.147~150 (1984)

관련 논문AI추천

Common fixed point of weakly compatible maps without continuity in menger spacesKhushal Devdhare, Meenakshi Rawal, Sushil Sharma영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호COMMON FIXED POINT THEOREMS FORWEAKLY COMPATIBLE MAPPINGSWITHOUT CONTINUITY IN MENGER SPACESBhavanaDeshpande, SushilSharma한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제2호A common fixed point theorem for a sequence of maps in a generalized Menger spaceLal Bahdhur, Shishi Jain, Shobha Jain영남수학회 · East Asian Mathematical Journal2008 · 제24권 제4호FIXED POINTS OF OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS USING IMPLICIT RELATIONBadri Datt Pant, Sunny Chauhan대한수학회 · 대한수학회논문집2012 · 제27권 제3호COMMON FIXED POINT THEOREMS FOR WEAKLYCOMPATIBLE MAPPINGS IN MENGER SPACESK.Choubey, S.Sharma한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제4호Compatible maps and common fixed points in Menger probabilistic metric spacesServet Kutukcu, Sushil Sharma대한수학회 · 대한수학회논문집2009 · 제24권 제1호

이 간행물의 다른 논문 (8건)

A FUNCTIONAL EQUATION ON HOMOGENEOUSPOLYNOMIALS박원길, 배재형pp. 103-110ON THE CONVERGENCE OF NEWTON'S METHOD ANDLOCALLY H？OLDERIAN OPERATORSIoannis K. Argyrospp. 111-120COVERING COVER PEBBLING NUMBER OF A HYPERCUBE & DIAMETER d GRAPHSPunitha Tharani, A. Lourdusamypp. 121-134MODIFIED HYERS-ULAM STABILITY OF A JENSEN TYPE QUARTIC FUNCTIONAL EQUATION김학만, 고훈, 손은영pp. 153-161CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENCE OF THE UPPER RECORD VALUES장세경, 이민영pp. 163-167
원문 보기