# A fixed point theorem for nonexpansive compact self-mapping

Annales UMCS, Mathematica (2014)

- Volume: 68, Issue: 1, page 43-47
- ISSN: 2083-7402

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topT. D. Narang. "A fixed point theorem for nonexpansive compact self-mapping." Annales UMCS, Mathematica 68.1 (2014): 43-47. <http://eudml.org/doc/267010>.

@article{T2014,

abstract = {A mapping T from a topological space X to a topological space Y is said to be compact if T(X) is contained in a compact subset of Y . The aim of this paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a closed subset having a contractive jointly continuous family when the underlying space is a metric space. The proved result generalizes and extends several known results on the subject},

author = {T. D. Narang},

journal = {Annales UMCS, Mathematica},

keywords = {Convex metric space; convex set; star-shaped set; nonexpansive map; compact map; convex metric space},

language = {eng},

number = {1},

pages = {43-47},

title = {A fixed point theorem for nonexpansive compact self-mapping},

url = {http://eudml.org/doc/267010},

volume = {68},

year = {2014},

}

TY - JOUR

AU - T. D. Narang

TI - A fixed point theorem for nonexpansive compact self-mapping

JO - Annales UMCS, Mathematica

PY - 2014

VL - 68

IS - 1

SP - 43

EP - 47

AB - A mapping T from a topological space X to a topological space Y is said to be compact if T(X) is contained in a compact subset of Y . The aim of this paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a closed subset having a contractive jointly continuous family when the underlying space is a metric space. The proved result generalizes and extends several known results on the subject

LA - eng

KW - Convex metric space; convex set; star-shaped set; nonexpansive map; compact map; convex metric space

UR - http://eudml.org/doc/267010

ER -

## References

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- [9] Habiniak, L., Fixed point theory and invariant approximations, J. Approx. Theory 56 (1989), 241-244. Zbl0673.41037
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