Download Fixed Point Theory in Probabilistic Metric Spaces: Volume by O. Hadzic,E. Pap PDF

By O. Hadzic,E. Pap

mounted aspect concept in probabilistic metric areas should be regarded as part of Probabilistic research, that is a truly dynamic sector of mathematical examine. a first-rate objective of this monograph is to stimulate curiosity between scientists and scholars during this attention-grabbing box. The textual content is self-contained for a reader with a modest wisdom of the metric mounted element conception.
a number of subject matters run via this booklet. the 1st is the idea of triangular norms (t-norms), that's heavily with regards to fastened aspect conception in probabilistic metric areas. Its contemporary improvement has had a powerful effect upon the mounted aspect thought in probabilistic metric areas.
In bankruptcy 1 a few simple houses of t-norms are awarded and a number of targeted sessions of t-norms are investigated. bankruptcy 2 is an assessment of a few simple definitions and examples from the idea of probabilistic metric areas. Chapters three, four, and five take care of a few single-valued and multi-valued probabilistic models of the Banach contraction precept. In bankruptcy 6, a few easy leads to in the neighborhood convex topological vector areas are used and utilized to fastened aspect thought in vector areas.
Audience: The booklet may be of price to graduate scholars, researchers, and utilized mathematicians operating in nonlinear research and probabilistic metric spaces.

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