Geodesic
Fixed points of mappings over a locally convex topological vector space and Ulam-Hyers stability of fixed point problems
Novi Sad Journal of Mathematics, Tome 50 (2020) no. 1.

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This paper is dealt with the Theory of fixed points of mappings which are an analogue like contraction mapping and Kannan mappings over a locally convex topological vector space. Some common fixed point Theorems for a pair of mappings involving their iterates have been proved. The purpose of this paper is to examine the validity of established results on fixed points of contraction mappings and Kannan mappings over such a locally convex topological vector space. It is revealed that a suitable local base in locally convex topological vector space plays an important role to find fixed points of above mappings over it. Also an application relating to stability of fixed point equation for Kannan-type contractive mappings is obtained here.
Publié le :
DOI : 10.30755/NSJOM.09198
Classification : 47H10, 54H25
Keywords: Locally convex topological vector space, contraction mapping, Kannan-type contractive mapping, T-contraction mapping, T-Kannan-type contractive mapping, uniformly convergent mapping, sequentially convergent mapping, subsequentially convergent mapping. 
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     author = {Kushal Roy and Mantu Saha},
     title = {Fixed points of mappings over a locally convex topological vector space and 
	{Ulam-Hyers} stability of fixed point problems},
     journal = {Novi Sad Journal of Mathematics},
     pages = {99 - 112},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2020},
     doi = {10.30755/NSJOM.09198},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09198/}
}
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	Ulam-Hyers stability of fixed point problems
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Kushal Roy; Mantu Saha. Fixed points of mappings over a locally convex topological vector space and 
	Ulam-Hyers stability of fixed point problems. Novi Sad Journal of Mathematics, Tome 50 (2020) no. 1. doi : 10.30755/NSJOM.09198. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09198/

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