Fixed point and homotopy result for mappings satisfying an implicit relation

I. Altun; D. Turkoglu

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2007)

  • Volume: 27, Issue: 2, page 349-363
  • ISSN: 1509-9407

Abstract

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In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems.

How to cite

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I. Altun, and D. Turkoglu. "Fixed point and homotopy result for mappings satisfying an implicit relation." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 27.2 (2007): 349-363. <http://eudml.org/doc/271137>.

@article{I2007,
abstract = {In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems.},
author = {I. Altun, D. Turkoglu},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {fixed point; implicit relation; homotopy result},
language = {eng},
number = {2},
pages = {349-363},
title = {Fixed point and homotopy result for mappings satisfying an implicit relation},
url = {http://eudml.org/doc/271137},
volume = {27},
year = {2007},
}

TY - JOUR
AU - I. Altun
AU - D. Turkoglu
TI - Fixed point and homotopy result for mappings satisfying an implicit relation
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2007
VL - 27
IS - 2
SP - 349
EP - 363
AB - In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems.
LA - eng
KW - fixed point; implicit relation; homotopy result
UR - http://eudml.org/doc/271137
ER -

References

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  1. [1] R.P. Agarwal and D. O'Regan, Fixed point theory for generalized contraction on space with two metrics, J. Math. Anal. Appl. 248 (2000), 402-414. 
  2. [2] R.P. Agarwal, D. O'Regan and M. Sambandham, Random and deterministic fixed point theory for generalized contractive maps, Appl. Anal. 83 (7) (2004), 711-725. Zbl1088.47044
  3. [3] G.E. Hardy and T.G. Rogers, A generalization of a fixed point theorem of Riech, Canad. Math. Bull. 16 (1973), 201-206. Zbl0266.54015
  4. [4] M. Imdad, S. Kumar and M.S. Khan, Remarks on some fixed point theorems satisfying implicit relations, Rad. Math. 11 (1) (2002), 135-143. Zbl1033.54025
  5. [5] V. Popa, A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation, Demonstratio Math. 33 (1) (2000), 159-164. Zbl0947.54023
  6. [6] V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32 (1) (1999), 157-163. Zbl0926.54030
  7. [7] S. Sharma and B. Desphande, On compatible mappings satisfying an implicit relation in common fixed point consideration, Tamkang J. Math. 33 (3) (2002), 245-252. Zbl1029.47037

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