On a Common Fixed Point of Two Random Operators Using Random Mann Iteration Scheme

A Common Fixed Point Theorem for Two Random Operators using Random Mann Iteration Scheme

In this paper, we proved that if a random Mann iteration scheme is defined by two random operators is convergent under some contractive inequality the limit point is a common fixed point of each of two random operators in Banach space.

A Common Fixed Point Theorem Of Two Random Operators Using Random Ishikawa Iteration Scheme

In this paper, we discuss the convergence of random Ishikawa iteration scheme to a common random fixed point for a certain class of random operators in Banach spaces. AMS Mathematics Subject Classification (2010): 47H10, 54H25

Random Ishikawa Iteration Scheme of Two Random Operators

In this paper, we prove the existence of a random common fixed point of two continuous contractive random operators on a separable Banach space. We introduce the random modified Ishikawa iteration scheme and use our existence result to study weak and strong convergence of this scheme to a unique random common fixed point of two random asymptotically quasi-nonexpansive operator. Our work extends...

Common random fixed points of compatible random operators

The study of random fixed point theory was initiated by the Prague school of probabilists in the 1950s [12, 13, 26]. Random fixed point theorems are stochastic generalization of classical fixed point theorems. The survey article by Bharucha-Reid [10] attracted the attention of several mathematicians and gave wings to this theory. Itoh [16] extended Spacek’s and Hans’s theorem to multivalued con...

Research Article Random Three-Step Iteration Scheme and Common Random Fixed Point of Three Operators