Some Results Concerning Hilbert Space

In this research paper to obtained a common unique fixed point theorem for two continuous surjective random operators defined on a non empty closed subset of separable Hilbert space. The corresponding result for non-random case is also obtained. Mathematics subject classification : 47H10, 54H25 Keyboards : Separable Hilbert space, random operators, common random fixed point

Fixed Points Theorem on A Pair of Random Generalized Non-Linear Contractions

A fixed point theorem for a pair of random generalized non-linear contraction mappings involving four points of the space under consideration is proven. It is shown that this result includes the result of Lee and Padgett [1]. Also an application of the result is given. Key words : Complete probability measure space, d-algebras, Borel subsets, random operator, separable Banach space, upper semi-continuous functions. Bochner integral, Mathematics Subject classification: Primary 60H99, 47H10, and Secondary 60H 20

Some Coupled coincidence and common fixed point theorems for hybrid pair of mappings

In this paper we extend the multi-valued mappings and obtain coupled coincidence points and common coupled fixed point theorems involving hybrid pair of single valued and multi-valued maps satisfying generalized contractive conditions in the frame work of a complete metric space. Keywords: coupled common fixed point, coupled coincidence point, coupled point of coincidence, w-compatible mappings, F-weakly commuting mappings