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Year 2014, Volume: 27 Issue: 1, 659 - 662, 28.03.2014

Abstract

References

  • C. Alaca, “A related fixed point theorem on two metric spaces satisfying a general contractive condition of integral type”, J. Comput. Anal. Appl., 11(2):263-270 (2009).
  • A. Aliouche and B. Fisher, “Fixed point theorems for mappings satisfying implicit relation on two complete and compact metric spaces”, Applied Math. Mech. (English Ed.), 27(9):1217-1222 (2006).
  • A. Aliouche, F. Merghadi and A. Djoudi, “A related fixed point theorem in two fuzzy metric spaces”, J. Nonlinear Sci. Appl., 2(1):19-24 (2009).
  • I. Beg and S. Chauhan, “Related fixed point of set-valued mappings in three Menger spaces”,Int. J. Anal.,Art. ID 736451, 6 pages (2013).
  • A. T. Bharucha-Reid, “Fixed point theorems in probabilistic analysis”, Bull. Amer. Math. Soc., 82(5):641-657 (1976).
  • V. K. Chourasia and Brian Fisher, “Related fixed points for two pairs of set valued mappings on two metric spaces”, Hacet. J. Math. Stat., 32:27- 32 (2003).
  • B. Fisher, “Fixed point on two metric spaces”, Glasnik Mat.,16(36):333-337 (1981).
  • B. Fisher, “Related fixed point on two metric spaces”, Math. Sem. Notes Kobe Univ., 10(1):17- 26 (1982).
  • B. Fisher and P. P. Murthy, “Related fixed point theorems for two pairs of mappings on two metric spaces”, Kyungpook Math. J.,37(2):343-347 (1997).
  • B. Fisher and D. Türkoğlu, “Related fixed points for mappings on complete and compact metric spaces”, Nonlinear Anal. Forum, 6:113-118 (2001).
  • B. Fisher and D. Türkoğlu, “Related fixed points for two pairs of set valued mappings on two metric spaces”, Fixed Point Theory and Appl., 3:63-70 (2002).
  • S. N. Mishra, “Common fixed points of compatible mappings in PM-spaces”, Math. Japon.,36(2):283-289 (1991).
  • K. Menger, “Statistical metrics”, Proc. Nat. Acad. Sci. U.S.A.,28:535-537 (1942).
  • R. K. Namdeo, S. Jain and B. Fisher, “A related fixed point theorem for two pairs of mappings on two complete metric spaces”, Hacet. J. Math. Stat.,32:7-11 (2003).
  • B.D. Pant, “Relation between fixed points in Menger Math.,24(1):135-142 (2002). Indian Acad.
  • B. D. Pant and S. Kumar, “A related fixed point theorem for two pairs of mappings in two Menger spaces”, Varāhmihir J. Math. Sci.,6(2):471-476 (2006).
  • B. Schweizer and A. Sklar, “Probabilistic Metric Spaces”, North-Holland Series in Probability and Publishing Co., New York, (1983).
  • V. M. Sehgal and A. T. Bharucha-Reid, “Fixed points of contraction mappings on probabilistic metric spaces”, Math. Systems Theory, 6:97-102 (1972).
  • D. Türkoğlu and B. Fisher, “A generalization of afixed point theorem of Ćirić”, Novi Sad J. Math., 29(1):117-121 (1999).

A Related Fixed Point Theorem in Two Menger Spaces

Year 2014, Volume: 27 Issue: 1, 659 - 662, 28.03.2014

Abstract

In this paper, we prove a related fixed point theorem for single-valued mappings in two Menger spaces.

References

  • C. Alaca, “A related fixed point theorem on two metric spaces satisfying a general contractive condition of integral type”, J. Comput. Anal. Appl., 11(2):263-270 (2009).
  • A. Aliouche and B. Fisher, “Fixed point theorems for mappings satisfying implicit relation on two complete and compact metric spaces”, Applied Math. Mech. (English Ed.), 27(9):1217-1222 (2006).
  • A. Aliouche, F. Merghadi and A. Djoudi, “A related fixed point theorem in two fuzzy metric spaces”, J. Nonlinear Sci. Appl., 2(1):19-24 (2009).
  • I. Beg and S. Chauhan, “Related fixed point of set-valued mappings in three Menger spaces”,Int. J. Anal.,Art. ID 736451, 6 pages (2013).
  • A. T. Bharucha-Reid, “Fixed point theorems in probabilistic analysis”, Bull. Amer. Math. Soc., 82(5):641-657 (1976).
  • V. K. Chourasia and Brian Fisher, “Related fixed points for two pairs of set valued mappings on two metric spaces”, Hacet. J. Math. Stat., 32:27- 32 (2003).
  • B. Fisher, “Fixed point on two metric spaces”, Glasnik Mat.,16(36):333-337 (1981).
  • B. Fisher, “Related fixed point on two metric spaces”, Math. Sem. Notes Kobe Univ., 10(1):17- 26 (1982).
  • B. Fisher and P. P. Murthy, “Related fixed point theorems for two pairs of mappings on two metric spaces”, Kyungpook Math. J.,37(2):343-347 (1997).
  • B. Fisher and D. Türkoğlu, “Related fixed points for mappings on complete and compact metric spaces”, Nonlinear Anal. Forum, 6:113-118 (2001).
  • B. Fisher and D. Türkoğlu, “Related fixed points for two pairs of set valued mappings on two metric spaces”, Fixed Point Theory and Appl., 3:63-70 (2002).
  • S. N. Mishra, “Common fixed points of compatible mappings in PM-spaces”, Math. Japon.,36(2):283-289 (1991).
  • K. Menger, “Statistical metrics”, Proc. Nat. Acad. Sci. U.S.A.,28:535-537 (1942).
  • R. K. Namdeo, S. Jain and B. Fisher, “A related fixed point theorem for two pairs of mappings on two complete metric spaces”, Hacet. J. Math. Stat.,32:7-11 (2003).
  • B.D. Pant, “Relation between fixed points in Menger Math.,24(1):135-142 (2002). Indian Acad.
  • B. D. Pant and S. Kumar, “A related fixed point theorem for two pairs of mappings in two Menger spaces”, Varāhmihir J. Math. Sci.,6(2):471-476 (2006).
  • B. Schweizer and A. Sklar, “Probabilistic Metric Spaces”, North-Holland Series in Probability and Publishing Co., New York, (1983).
  • V. M. Sehgal and A. T. Bharucha-Reid, “Fixed points of contraction mappings on probabilistic metric spaces”, Math. Systems Theory, 6:97-102 (1972).
  • D. Türkoğlu and B. Fisher, “A generalization of afixed point theorem of Ćirić”, Novi Sad J. Math., 29(1):117-121 (1999).
There are 19 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Mathematics
Authors

Sunny Chauhan

İsmat Beg

B. Pant This is me

Publication Date March 28, 2014
Published in Issue Year 2014 Volume: 27 Issue: 1

Cite

APA Chauhan, S., Beg, İ., & Pant, B. (2014). A Related Fixed Point Theorem in Two Menger Spaces. Gazi University Journal of Science, 27(1), 659-662.
AMA Chauhan S, Beg İ, Pant B. A Related Fixed Point Theorem in Two Menger Spaces. Gazi University Journal of Science. March 2014;27(1):659-662.
Chicago Chauhan, Sunny, İsmat Beg, and B. Pant. “A Related Fixed Point Theorem in Two Menger Spaces”. Gazi University Journal of Science 27, no. 1 (March 2014): 659-62.
EndNote Chauhan S, Beg İ, Pant B (March 1, 2014) A Related Fixed Point Theorem in Two Menger Spaces. Gazi University Journal of Science 27 1 659–662.
IEEE S. Chauhan, İ. Beg, and B. Pant, “A Related Fixed Point Theorem in Two Menger Spaces”, Gazi University Journal of Science, vol. 27, no. 1, pp. 659–662, 2014.
ISNAD Chauhan, Sunny et al. “A Related Fixed Point Theorem in Two Menger Spaces”. Gazi University Journal of Science 27/1 (March 2014), 659-662.
JAMA Chauhan S, Beg İ, Pant B. A Related Fixed Point Theorem in Two Menger Spaces. Gazi University Journal of Science. 2014;27:659–662.
MLA Chauhan, Sunny et al. “A Related Fixed Point Theorem in Two Menger Spaces”. Gazi University Journal of Science, vol. 27, no. 1, 2014, pp. 659-62.
Vancouver Chauhan S, Beg İ, Pant B. A Related Fixed Point Theorem in Two Menger Spaces. Gazi University Journal of Science. 2014;27(1):659-62.