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Generalized contractions and applications. (Contracţii generalizate şi aplicaţii.) (Romanian) Zbl 0885.47022

Colecţia Universitaria. Baia Mare: Editura Cub Press 22. 168 p. (1997).
This book is the author’s Ph.D. dissertation (Babeş-Bolyai Univ. of Cluj-Napoca). It is a systematic investigation of the basic problems of metric fixed point theory [I. A. Rus, Stud. Univ. Babeş-Bolyai, Math. 34, No. 2, 61-69 (1989; Zbl 0878.54028)] in the case of \(\varphi\)-contraction operators. This monograph is of interest to those working in nonlinear analysis and its applications.

MSC:

47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
54-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to general topology
54E40 Special maps on metric spaces
54H25 Fixed-point and coincidence theorems (topological aspects)
47H05 Monotone operators and generalizations

Citations:

Zbl 0878.54028
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