Convergence of a random iteration scheme to a random fixed point.
An iteration for finding a common random fixed point.
A common unique fixed point theorem for two random operators in Hilbert spaces.
Convergence of an iteration leading to a solution of a random operator equation.
A generalisation of contraction principle in metric spaces.
Kannan-type cyclic contraction results in -Menger space
In this paper we establish Kannan-type cyclic contraction results in probabilistic 2-metric spaces. We use two different types of -norm in our theorems. In our first theorem we use a Hadzic-type -norm. We use the minimum -norm in our second theorem. We prove our second theorem by different arguments than the first theorem. A control function is used in our second theorem. These results generalize some existing results in probabilistic 2-metric spaces. Our results are illustrated with an example....
Cyclic Type Fixed Point Results in 2-Menger Spaces
In this paper we introduce generalized cyclic contractions through number of subsets of a probabilistic 2-metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type -norm. In another theorem we use a control function with minimum -norm. Our results generalizes some existing fixed point theorem in 2-Menger spaces. The results are supported with some examples.
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