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Editorial Board Member: William Art Kirk

kirkIt is a fact that no one can contest that William Art Kirk is one of the founders of the modern theory of metric fixed points. With more than 175 works in the field of fixed point theory and 3500 citations, W.A. Kirk influenced the development of this flourishing field in a decisive way.
The very first and, maybe, most notable result in fixed point theory was given by... (read more)​​​​​​​

View William Kirk's SpringerNature publications!


Aims and scope

In a wide range of mathematical problems the existence of a solution is equivalent to the existence of a fixed point for a suitable map. The existence of a fixed point is therefore of paramount importance in several areas of mathematics and other sciences. Fixed point results provide conditions under which maps have solutions. The theory itself is a beautiful mixture of analysis (pure and applied), topology, and geometry. Over the last 50 years or so the theory of fixed points has been revealed as a very powerful and important tool in the study of nonlinear phenomena. In particular, fixed point techniques have been applied in such diverse fields as biology, chemistry, economics, engineering, game theory, and physics. The aim of this journal is to report new fixed point results and their applications in which the indispensability of the fixed point results is highlighted. This journal will accept high quality articles containing original research results and survey articles of exceptional merit. An article to be published in Fixed Point Theory and Applications must contain either some new applications to real world problems or reveal novel aspects of the theory applicable to new situations.

Article collections

Iterative Methods and Optimization Algorithms: A Dedication to Dr. Hong-Kun Xu
Edited by: Ravi Agarwal, Juan Nieto, Adrian Petrusel

Fixed Point Theory: Theory, Computation and Applications
Edited by: Vasile Berinde, Adrian Petrusel and Radu Precup

Recent Progress in Fixed Point Theory and Applications (2015)
Edited by: Dr Inci Erhan, Prof A. Petrusel, Dr Antonio-Francisco Roldán-López-de-Hierro, Prof Erdal Karapinar

View all article collections


2016 Journal Metrics

Infographic: Key Statistics of FPTA

A42141_Fixed_Point_Theory_infographic_256x176Fixed Point Theory and Applications features rapid times to first decision and to online publication, and more. Click here to view the infographic!