Random Fixed Points of 1-Set Contractive Random Maps in Frechet Spaces

Random Fixed Point Theorems for Various Classes of 1-Set-Contractive Maps in Banach Spaces

Various random fixed point theorems for different classes of 1-set-contractive random operator are proved. The class of 1-set-contractive random operators includes condensing and nonexpansive random operators. It also includes semicontractive type random operators and locally almost nonexpansive random operators. w Ž . x Thus results due to S. Itoh J. Math. Anal. Appl. 67 1979 , 261]273 , T. C....

Random Approximations and Random Fixed Point Theorems for Continuous 1-set-contractive Random Maps

Recently the author [Proc. Amer. Math. Soc. 103(1988), 11291135] proved random versions of an interesting theorem of Ky Fan [Theorem 2, Math. Z. 112 (1969), 234-240] for continuous condensing random maps and nonexpansive random maps defined on a closed convex bounded subset in a separable Hilbert space. In this paper, we prove that it is still true for (more general) continuous 1-set-contractiv...

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

Fixed Points of Generalized Contractive Maps

Recommended by Hichem Ben-El-Mechaiekh We prove some results on the existence of fixed points for multivalued generalized w-contractive maps not involving the extended Hausdorff metric. Consequently, several known fixed point results are either generalized or improved.

On Common Random Fixed Point Theorems under Contractive Type Condition in Cone Random Metric Spaces

The aim of this paper is to establish some common random fixed point theorems under contractive type condition in the framework of cone random metric spaces and also to obtain some classical results as corollaries. Our results extend and generalize many known results from the current existing literature.