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

Berinde, Vasile

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.

Reviewer: I.A.Rus (Cluj-Napoca)

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

Keywords:

monotone operators; differential equations; metric fixed point theory; \(\varphi\)-contraction operators

Citations:

Zbl 0878.54028