# Some Fixed Point Theorems for Kannan Mappings

Tejpal, Shavetambry; Narang, T. D.

Serdica Mathematical Journal (2010)

- Volume: 35, Issue: 1, page 1-10
- ISSN: 1310-6600

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topTejpal, Shavetambry, and Narang, T. D.. "Some Fixed Point Theorems for Kannan Mappings." Serdica Mathematical Journal 35.1 (2010): 1-10. <http://eudml.org/doc/281517>.

@article{Tejpal2010,

abstract = {2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete convex metric spaces having uniform normal structure are proved in this paper. These results extend and generalize some results of Ismat Beg and Akbar Azam [Ind. J. Pure Appl. Math. 18 (1987), 594-596], A. A. Gillespie and B. B. Williams [J. Math. Anal. Appl. 74 (1980), 382-387] and of Yoichi Kijima and Wataru Takahashi [Kodai Math Sem. Rep. 21 (1969), 326-330].},

author = {Tejpal, Shavetambry, Narang, T. D.},

journal = {Serdica Mathematical Journal},

keywords = {Kannan Mappings; Uniform Normal Structure; Admissible Sets; Convex Metric Spaces; Kannan mappings; uniform normal structure; admissible sets; convex metric spaces},

language = {eng},

number = {1},

pages = {1-10},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Some Fixed Point Theorems for Kannan Mappings},

url = {http://eudml.org/doc/281517},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Tejpal, Shavetambry

AU - Narang, T. D.

TI - Some Fixed Point Theorems for Kannan Mappings

JO - Serdica Mathematical Journal

PY - 2010

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 35

IS - 1

SP - 1

EP - 10

AB - 2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete convex metric spaces having uniform normal structure are proved in this paper. These results extend and generalize some results of Ismat Beg and Akbar Azam [Ind. J. Pure Appl. Math. 18 (1987), 594-596], A. A. Gillespie and B. B. Williams [J. Math. Anal. Appl. 74 (1980), 382-387] and of Yoichi Kijima and Wataru Takahashi [Kodai Math Sem. Rep. 21 (1969), 326-330].

LA - eng

KW - Kannan Mappings; Uniform Normal Structure; Admissible Sets; Convex Metric Spaces; Kannan mappings; uniform normal structure; admissible sets; convex metric spaces

UR - http://eudml.org/doc/281517

ER -

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