Random Fixed Points for Several Classes of 1-Ball-Contractive and 1-Set-Contractive Random Maps

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...

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....

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.

Fixed Points of Weakly Contractive Maps and Boundedness of Orbits

Coincidence and Fixed Points of Nonself Contractive Maps with Applications

We prove some coincidence and common fixed point theorems for nonself maps (not necessarily continuous) satisfying different contractive conditions on an arbitrary nonempty subset of a metric space. As applications, we demonstrate the existence of: (i) common fixed points of the maps from the set of best approximations, (ii) solutions to nonlinear eigenvalue problems. Our work sets analogues, u...