Quasi-Triangular Spaces, Pompeiu-Hausdorff Quasi-Distances, and Periodic and Fixed Point Theorems of Banach and Nadler Types
Let C={Cα}α∈A∈[1;∞)A, A-index set. A quasi-triangular space (X,PC;A) is a set X with family PC;A={pα:X2→[0,∞), α∈A} satisfying ∀α∈A ∀u,v,w∈X {pα(u,w)≤Cα[pα(u,v)+pα(v,w)]}. For any PC;A, a left (right) family JC;A generated by PC;A is defined to be JC;A={Jα:X2→[0,∞), α∈A}, where ∀α∈A ∀u,v,w∈X {...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/201236 |
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