Tayyab Kamran

On ( α ∗ , ψ ) -contractive multi-valued mappings

In this paper, we generalize the contractive condition for multi-valued mappings given by Asl, Rezapour and Shahzad in 2012. We establish some fixed point theorems for multi-valued mappings from a complete metric space to the space of closed or bounded subsets of the metric space satisfying generalized (α∗,ψ)-contractive condition.MSC:47H10, 54H25.

( α , ψ , ξ ) -contractive multivalued mappings

AbstractIn this paper, we introduce the notion of (α,ψ,ξ)-contractive multivalued mappings to generalize and extend the notion of α-ψ-contractive mappings to closed valued multifunctions. We investigate the existence of fixed points for such mappings. We also construct an example to show that our result is more general than the results of α-ψ-contractive closed valued multifunctions.nMSC:47H10, 54H25.

Fixed point theorems for integral G-contractions

We define the notion of an integral G-contraction for mappings on metric spaces and establish some fixed point theorems for such mappings. Our results generalize and unify some recent results by Jachymski, Branciari and those contained therein. As an application, we obtain a result for cyclic operators. Moreover, we provide an example to show that our results are substantial improvements of some known results in literature.MSC:47H10, 54H25.

A new approach to (α,ψ)-contractive nonself multivalued mappings

In this paper, we introduce the notions of α-admissible and α-ψ-contractive type condition for nonself multivalued mappings. We establish fixed point theorems using these new notions along with a new condition. Moreover, we have constructed examples to show that our new condition is different from the corresponding existing conditions in the literature.MSC: 47H10, 54H25.

Probabilistic G -contractions

In this paper we introduce the notion of probabilistic G-contraction and establish some fixed point theorems in such settings. Our results generalize/extend some recent results of Jachymski and Sehgal and Bharucha-Reid. Consequently, we obtain fixed point results for (ϵ,δ)-chainable PM-spaces and for cyclic operators.MSC:47H10, 54H25.

Fixed point of α-ψ-contractive type mappings in uniform spaces

AbstractIn this paper, we shall investigate the existence and uniqueness of a fixed point of α-ψ-contractive mappings in the context of uniform spaces. We shall also prove some common fixed point theorems by introducing the notion of α-admissible pairs. We shall construct some examples to support our novel results.nMSC:46T99, 47H10, 54H25.

Hybrid generalized contractions

Sintunavarat and Kumam introduced the notion of hybrid generalized multi-valued contraction mapping and established a common fixed point theorem. We extend their result for four mappings and prove common coincidence and common fixed point theorem.

A fixed point theorem for

We extend notion and theorem of cite{Vetro} to the case of axa0multivalued mapping defined on a metric space endowed with a finite number ofxa0graphs. We also construct an example to show the generality of our result over existing results. Finally, we give an application to nonlinear integral equations.

G

This paper deals with the fixed point theorems for mappings satisfying a contractive condition involving a gauge function φ when the underlying set is endowed with a b-metric. Our results generalize/extend the main results of Proinov and thus we obtain as special cases some results of Mysovskih, Rheinboldt, Gel’man, and Huang. We also furnish an example to substantiate the validity of our results. Subsequently, an existence theorem for the solution of initial value problem has also been established.MSC:47H10, 54H25.