Random Edelstein Theorem
An iteration process for nonlinear mappings in uniformly convex linear metric spaces
We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.
Random fixed points of increasing compact random maps
Let be a measurable space, be an ordered separable Banach space and let be a nonempty order interval in . It is shown that if is an increasing compact random map such that and for each then possesses a minimal random fixed point and a maximal random fixed point .
Fixed points of fuzzy monotone maps
The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved.
Common fixed points for commuting and compatible maps
Fixed point theorems of multivalued hybrid contractions and Meir-Keeler type multivalued maps are obtained in a metric space. Our results generalize corresponding results of Aubin and Siegel, Dube, Dube and Singh, Hadzic, Iseki, Jungck, Kaneko, Nadler, Park and Bae, Reich, Ray and many others.
Fixed points and best approximation in Menger convex metric spaces
We obtain necessary conditions for the existence of fixed point and approximate fixed point of nonexpansive and quasi nonexpansive maps defined on a compact convex subset of a uniformly convex complete metric space. We obtain results on best approximation as a fixed point in a strictly convex metric space.
Invariant approximation for fuzzy nonexpansive mappings
We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all -best approximations to contain a fixed point of arbitrary mappings. A result regarding the existence of an invariant point for a pair of commuting mappings on a fuzzy metric...
Vector-valued fuzzy multifunctions.
A characterization of random approximations.
Random fixed points of non-self maps and random approximations.
Continuity of fuzzy multifunctions.
Coupled fixed points of mixed monotone operators on probabilistic Banach spaces
The existence of minimal and maximal fixed points for monotone operators defined on probabilistic Banach spaces is proved. We obtained sufficient conditions for the existence of coupled fixed point for mixed monotone condensing multivalued operators.
Random approximations and random fixed point theorems.
Random fixed points of weakly inward operators in conical shells.
Equivalence and stability of random fixed point iterative procedures.
Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition.
Common random fixed points of compatible random operators.
Convergence of iterative algorithms to common random fixed points of random operators.
Random fixed points and approximations in random convex metric spaces.
Random fixed point theorems on product spaces.
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