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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.

Coincidence points for multivalued maps on non-starsharped domain

Hussain N.

Demonstratio Mathematica

2006

Vol. 39, nr 3

579-584

We improve recent results of Shahzad [Demonstratio Math. 36 (2003), 427-431].

Stability of iterative procedures for multivalued maps in metric spaces

Singh S., Bhatnagar C., Mishra S.

Demonstratio Mathematica

2005

Vol. 38, nr 4

905-916

Let (X,d) be a metric space and T a self-map of X. Let Xn+i = f(T,Xn) denote some iterative procedure. Let {xn} be convergent to a fixed point u of T and {yn} be an arbitrary sequence in X. Set En=d[yn+i, f(T, yn)], n = 0,1,2,..., then the iterative procedure f(T,Xn) is T-stable provided that limEn = 0 implies that limnyn = u. This definition has been extended by Singh and Chadha [34] to discuss the problem of stability for multivalued operators on metric spaces. The purpose of this paper is to present a fixed point theorem for generalized multivalued contractions on a setting more general than metric spaces. The same is utilized to discuss the problem of stability of iterative procedures in multivalued analysis. Some special cases due to Stefan Czerwik and others are discussed as special cases.