Binayak S. Choudhury

A Generalisation of Contraction Principle in Metric Spaces

Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.

Coupled fixed point results in generalized metric spaces

In this paper we establish coupled fixed point theorems in a partially ordered G-metric space. The results proved here are illustrated with an example.

A generalized weak contraction principle with applications to coupled coincidence point problems

In this paper we establish some coincidence point results for generalized weak contractions with discontinuous control functions. The theorems are proved in metric spaces with a partial order. Our theorems extend several existing results in the current literature. We also discuss several corollaries and give illustrative examples. We apply our result to obtain some coupled coincidence point results which effectively generalize a number of established results.MSC:54H10, 54H25.

(ψ, α, β)-weak contractions in partially ordered metric spaces

Abstract In this paper we have generalized the weak contraction principle to coincidence point and common fixed point results in partially ordered metric spaces. Our results extend some existing results. Two examples illustrating our results are given.

The point of coincidence and common fixed point for a pair of mappings in cone metric spaces

In this paper the existence of a point of coincidence and a common fixed point for two weakly compatible maps on a cone metric space has been established. The two mappings are assumed to satisfy certain weak inequalities. Supporting examples are also given.

Joint remote state preparation for two-qubit equatorial states

In this paper, we propose a protocol of joint remote state preparation of an equatorial two-qubit pure quantum state using GHZ states, performing projective measurements and appropriate unitary operations. The probability of success of our scheme is shown to increase if one of the parties holding the partial information transmits the information classically to the receiver.

A COMMON UNIQUE FIXED POINT THEOREM FOR TWO RANDOM OPERATORS IN HILBERT SPACES

We construct a sequence of measurable functions and consider its convergence to the unique common random fixed point of two random operators defined on a nonempty closed subset of a separable Hilbert space. The corresponding result in the nonrandom case is also obtained.

An entanglement concentration protocol for cluster states

Cluster class states are entangled states which have several uses in quantum information and computation problems. In this paper we develop an entanglement concentration protocol for partially entangled pure cluster class state with an even number of qubits. We use only local operations for this protocol.

Random Mann iteration scheme

In the present note, a random iteration is constructed and it is proved that if the iteration is convergent, it will converge to a random fixed point of a random operator in Hilbert spaces provided that the random operator satisfies a certain contractive inequality. The iteration is a random version of Mann iteration.

On -Tupled Coincidence Point Results in Metric Spaces

We prove some n-tupled coincidence point results whenever n is even. We give here several new definitions like n-tupled fixed point, n-tupled coincidence point, and so forth. The main result is supported with the aid of an illustrative example.