New fixed-points results for 1-set contractive set valued maps

Structure of the Fixed Point of Condensing Set-Valued Maps

In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.

Fixed Point Theorems For Set-Valued Maps

Preface In this thesis we provide an introduction to fixed point theory for set-valued maps. It is not our goal in the present work to give an outline of the status quo of fixed point theory with all its newest achievements, but rather to give a thorough overview of the basic results in this discipline. It then should be possible for the reader to better and easier understand the newest develop...

Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings

Fixed Point Theorems for Set-Valued Generalized Contractive Maps in Cone Metric Spaces

Banach’s contraction principle plays an important role in several branches of mathematics. Because of its importance for mathematical theory, it has been extended in many direction. Especially, Nadler [23] gave a generalization of Banach’s contraction principle to the case of set-valued maps in metric spaces. The author [13] obtained a generalization of Nadler’s fixed point theorem. They proved...

Fixed and coupled fixed points of a new type set-valued contractive mappings in complete metric spaces

*Correspondence: [email protected] Department of Pure Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran Abstract In this paper, motivated by the recent work of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), we introduce a new concept of set-valued contraction a...