Non-self mappings in modular spaces and common fixed point theorems

Abdolrahman Razani; Valdimir Rakočević; Zahraa Goodarzi

Open Mathematics (2010)

  • Volume: 8, Issue: 2, page 357-366
  • ISSN: 2391-5455

Abstract

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The aim of this paper, is to introduce the convex structure (specially, Takahashi convex structure) on modular spaces. Moreover, we are interested in proving some common fixed point theorems for non-self mappings in modular space.

How to cite

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Abdolrahman Razani, Valdimir Rakočević, and Zahraa Goodarzi. "Non-self mappings in modular spaces and common fixed point theorems." Open Mathematics 8.2 (2010): 357-366. <http://eudml.org/doc/268982>.

@article{AbdolrahmanRazani2010,
abstract = {The aim of this paper, is to introduce the convex structure (specially, Takahashi convex structure) on modular spaces. Moreover, we are interested in proving some common fixed point theorems for non-self mappings in modular space.},
author = {Abdolrahman Razani, Valdimir Rakočević, Zahraa Goodarzi},
journal = {Open Mathematics},
keywords = {Takahashi convex modular space; Non-self mappings; Common fixed point; non-self mappings; common fixed point},
language = {eng},
number = {2},
pages = {357-366},
title = {Non-self mappings in modular spaces and common fixed point theorems},
url = {http://eudml.org/doc/268982},
volume = {8},
year = {2010},
}

TY - JOUR
AU - Abdolrahman Razani
AU - Valdimir Rakočević
AU - Zahraa Goodarzi
TI - Non-self mappings in modular spaces and common fixed point theorems
JO - Open Mathematics
PY - 2010
VL - 8
IS - 2
SP - 357
EP - 366
AB - The aim of this paper, is to introduce the convex structure (specially, Takahashi convex structure) on modular spaces. Moreover, we are interested in proving some common fixed point theorems for non-self mappings in modular space.
LA - eng
KW - Takahashi convex modular space; Non-self mappings; Common fixed point; non-self mappings; common fixed point
UR - http://eudml.org/doc/268982
ER -

References

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  1. [1] Ćirić L.B., A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc., 1974, 45, 267–237 http://dx.doi.org/10.2307/2040075 Zbl0291.54056
  2. [2] Das M., Naik K.V., Common fixed point theorems for commuting maps on a metric space, Proc. Amer. Math. Soc., 1979, 77(3), 369–373 http://dx.doi.org/10.2307/2042188 Zbl0418.54025
  3. [3] Gajić L., Quasi-contractive nonself mappings on Takahashi convex metric spaces, Novi Sad J. Math., 2000, 30, 41–46 
  4. [4] Jungck G., Commuting mappings and fixed point, Amer. Math. Monthly, 1976, 83, 261–263 http://dx.doi.org/10.2307/2318216 Zbl0321.54025
  5. [5] Jungck G., Compatible mappings and common fixed point, Int. J. Math. Math. Sci., 1986, 9, 771–779 http://dx.doi.org/10.1155/S0161171286000935 Zbl0613.54029
  6. [6] Musielak J., Orlicz W., On modular spaces, Studia Math., 1959, 18, 49–65 Zbl0086.08901
  7. [7] Nakano H., Modular semi-ordered spaces, Tokyo, Japan, 1959 Zbl0086.09104
  8. [8] Rakočević V., Quasi contraction nonself mappings on Banach spaces and common fixed point theorems, Publ. Math. Debrecen, 2001, 58, 451–460 Zbl0980.46037
  9. [9] Ume J.S., Fixed point theorems related to Ćirić contraction principle, J. Math. Anal. Appl., 1998, 225, 630–640 http://dx.doi.org/10.1006/jmaa.1998.6030 

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