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A Suzuki type unique common fixed point theorem for two pairs of hybrid maps under a new condition in partial metric spaces

Rao K. P. R., Rao K. R. K., Imdad M.

Demonstratio Mathematica

2016

Vol. 49, nr 1

79--94

In this paper, we introduce a new condition namely: condition (W.C.C.) and utilize the same to prove a Suzuki type unique common fixed point theorem for two hybrid pairs of mappings in partial metric spaces employing the partial Hausdorff metric which generalizes several known results of the existing literature proved in metric and partial metric spaces.

Unique common fixed point theorems for pairs of hybrid maps under a new condition in partial metric spaces

Rao K. P. R., Rao K. R. K.

Demonstratio Mathematica

2014

Vol. 47, nr 3

714--724

In this paper, we introduce a new condition namely, ‘condition (W.C.C)’ and obtain two unique common fixed point theorems for pairs of hybrid mappings on a partial Hausdorff metric space without using any continuity and commutativity of the mappings.