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Hybrid fixed point theorems in symmetric spaces via common limit range property

Imdad M., Chauhan S., Soliman A. H., Ahmed M. A.

Demonstratio Mathematica

2014

Vol. 47, nr 4

949--962

In this paper, we point out that some recent results of Vijaywar et al. (Coincidence and common fixed point theorems for hybrid contractions in symmetric spaces, Demonstratio Math. 45 (2012), 611–620) are not true in their present form. With a view to prove corrected and improved versions of such results, we introduce the notion of common limit range property for a hybrid pair of mappings and utilize the same to obtain some coincidence and fixed point results for mappings defined on an arbitrary set with values in symmetric (semi-metric) spaces. Our results improve, generalize and extend some results of the existing literature especially due to Imdad et al., Javid and Imdad, Vijaywar et al. and some others. Some illustrative examples to highlight the realized improvements are also furnished.

Common fixed point theorems under contractive conditions of integral type in symmetric spaces

Merghadi F., Godet-Thobie C.

Demonstratio Mathematica

2013

Vol. 46, nr 4

757--780

The purpose of this paper is to prove common fixed point theorems for a family of mappings in symmetric spaces using the property (E.A) and weak compatibility or occasionally weak compatibility. Our results extend some recent results.

On some classes of difference double sequence spaces

Tripathy B.C.

Fasciculi Mathematici

2009

Nr 41

135-142

In this article we introduce the difference double sequence spaces &some;defined over a seminormed space (X,q), seminormed by q. We examine some topological and algebraic properties of these spaces like symmetricity, solidness, monotonoc-ity, convergence free, nowhere densenes etc. We prove some inclusion results too.

Fixed point theorems for multivalued mappings in symmetric spaces

Joshi M., Joshi L., Dimri R.

Demonstratio Mathematica

2007

Vol. 40, nr 3

733-738

In this paper we prove some fixed point theorems for multivalued mappings using rational inequality in a symmetric space. These results are generalizations of some well known results in metric spaces and also in the setting of symmetric spaces.

On CR submanifolds nearly and closely Lorentzian para cosymplectic manifolds

Gill H., Dube K.

Demonstratio Mathematica

2005

Vol. 38, nr 2

451--459

On a class of difference sequences related to the p-normed space lp

Tripathy B. Ch.

Demonstratio Mathematica

2003

Vol. 36, nr 4

867--872

In this article we introduce the difference sequence space m (Δ,φ,p), 0 < p < 1, which is related to the p-normed space lp(Δ) (i.e. bvp). We study its different properties like solidity, symmetricity, completeness etc. We prove some inclusion results and verify its relations with the other sequence spaces.