Several fixed point theorems concerning -distance

By Tomonari Suzuki. 2004

63 citations recorded by the source corpus.

Using the notion of -distance, we prove several fixed point theorems, which are generalizations of fixed point theorems by Kannan, Meir-Keeler, Edelstein, and Nadler. We also discuss the properties of -distance.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d52eb1313f67c85351adfc7a61db7cd199da1340

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In Computational Theory and Mathematics

1. Mohammad Mursaleen

In Geometry and Topology

1. Mohammad Mursaleen
2. Asadollah Aghajani
3. Ali Shole Haghighi
4. Syed Abdul Mohiuddine

Citations in the corpus

• FIXED POINT THEOREMS FOR MEIR-KEELER CONDENSING OPERATORS VIA MEASURE OF NONCOMPACTNESS ∗ (2015, background): “In 1969, Meir and Keeler [22] proved the following very interesting fixed-point theorem, which is a generalization of the Banach contraction principle [8] (See also [24, 25]).”