## 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

Zbl 0878.54028