On fixed points of set-valued directional contractions

An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions

A fixed point result for a new class of set-valued contractions

In this paper, we introduce a new class of set-valued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many well-known xed point theorems in the literature.

Continuous Dependence on Parameters of the Fixed Points Set for some Set -Valued Operators

In this paper we extend the notion of I0−continuity and uniform I − continuity from [2] to set-valued operators. Using these properties, we prove some results on continuous dependence of the fixed points set for families of contractive type set-valued operators. Mathematics Subject Classification (1991). 47H04, 34A60, 47H10.

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 Points of Multivalued Nonself Almost Contractions

The study of fixed points of single-valued self-mappings or multivalued self-mappings satisfying certain contraction conditions has a great majority of results inmetric fixed point theory. All these results are mainly generalizations of Banach contraction principle. The Banach contraction principle guarantees the existence and uniqueness of fixed points of certain self-maps in complete metric s...