Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space

Memudu Olatinwo

Open Mathematics (2008)

  • Volume: 6, Issue: 2, page 335-341
  • ISSN: 2391-5455

Abstract

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In this paper, we establish some common fixed point theorems for selfmappings of a uniform space by employing both the concepts of an A-distance and an E-distance introduced by Aamri and El Moutawakil [1] and two contractive conditions of integral type. Our results are generalizations and extensions of the classical Banach’s fixed point theorem of [2, 3, 19], some results of Aamri and El Moutawakil [1], Theorem 2.1 of Branciari [5] as well as a result of Jungck [7].

How to cite

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Memudu Olatinwo. "Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space." Open Mathematics 6.2 (2008): 335-341. <http://eudml.org/doc/269325>.

@article{MemuduOlatinwo2008,
abstract = {In this paper, we establish some common fixed point theorems for selfmappings of a uniform space by employing both the concepts of an A-distance and an E-distance introduced by Aamri and El Moutawakil [1] and two contractive conditions of integral type. Our results are generalizations and extensions of the classical Banach’s fixed point theorem of [2, 3, 19], some results of Aamri and El Moutawakil [1], Theorem 2.1 of Branciari [5] as well as a result of Jungck [7].},
author = {Memudu Olatinwo},
journal = {Open Mathematics},
keywords = {selfmappings; contractive conditions of integral type; uniform space; Fixed point; integral type inequality},
language = {eng},
number = {2},
pages = {335-341},
title = {Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space},
url = {http://eudml.org/doc/269325},
volume = {6},
year = {2008},
}

TY - JOUR
AU - Memudu Olatinwo
TI - Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space
JO - Open Mathematics
PY - 2008
VL - 6
IS - 2
SP - 335
EP - 341
AB - In this paper, we establish some common fixed point theorems for selfmappings of a uniform space by employing both the concepts of an A-distance and an E-distance introduced by Aamri and El Moutawakil [1] and two contractive conditions of integral type. Our results are generalizations and extensions of the classical Banach’s fixed point theorem of [2, 3, 19], some results of Aamri and El Moutawakil [1], Theorem 2.1 of Branciari [5] as well as a result of Jungck [7].
LA - eng
KW - selfmappings; contractive conditions of integral type; uniform space; Fixed point; integral type inequality
UR - http://eudml.org/doc/269325
ER -

References

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  1. [1] Aamri M., El Moutawakil D., Common fixed point theorems for E-contractive or E-expansive maps in uniform spaces, Acta Math. Acad. Paedagog. Nyházi. (N.S.), 2004, 20, 83–91 Zbl1064.54504
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  5. [5] Branciari A., A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci., 2002, 29, 531–536 http://dx.doi.org/10.1155/S0161171202007524 Zbl0993.54040
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  15. [15] Rodriguez-Montes J., Charris J.A., Fixed points for W-contractive or W-expansive maps in uniform spaces: toward a unified approach, Southwest J. Pure Appl. Math., 2001, 1, 93–101 Zbl0985.54036
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