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Mizoguchi–Takahashi’s type fixed point theorem

✍ Scribed by Tayyab Kamran


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
363 KB
Volume
57
Category
Article
ISSN
0898-1221

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✦ Synopsis


produced an example to disprove their claim and showed that Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's fixed point theorem. We refine/generalize Mizoguchi-Takahashi's fixed point theorem. Our result improves a recent result by Klim and Wadowski [D.


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In this paper we focus on three fixed point theorems and an integral equation. Schaefer's fixed point theorem will yield a Tperiodic solution of z(t) = a(t) + D(t, s)g(s, z(s)) ds 6, if D and g satisfy certain sign conditions independent of their magnitude. A combination of the contraction mapping t