Recently, the authors Khalil et al. (2014) introduced a new simple well-behaved definition of the fractional derivative called conformable fractional derivative. In this article we proceed on toâ€¦ (More)

In this work, a general form of the weak Ï†-contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S, T on a complete partial metric space Xâ€¦ (More)

In this paper, we define KKM mappings in cone metric spaces and define NR-cone metric spaces to obtain some fixed point theorems and hence generalize the results obtained in [A. Amini, M. Fakhar, J.â€¦ (More)

Partial metric spaces were introduced by S. G. Matthews in 1994 as a part of the study of denotational semantics of dataflow networks. In this article, we prove fixed point theorems for generalizedâ€¦ (More)

In this paper, we proved a fixed point theorem and a common fixed point theorem in cone metric spaces for generalized contraction mappings where some of the main results of Ä†iriÄ‡ in [8, 27] areâ€¦ (More)

and Applied Analysis 3 The paper is organized as follows. In Section 2 basic definitions of fractional calculus and discrete fractional calculus are mentioned. Section 3 presents our main results onâ€¦ (More)

Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirikâ€™s fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal.â€¦ (More)

and Applied Analysis 3 For 0 < q â‰¤ 1 we have t0D q t x t 1 Î“ ( 1 âˆ’ q d dt (âˆ« t t0 x s t âˆ’ s q ds ) , ( 0 < q â‰¤ 1, c t0D q t x t 1 Î“ ( 1 âˆ’ q âˆ« t t0 xâ€² s t âˆ’ s q ds, ( 0 < q â‰¤ 1. 2.2 Some properties ofâ€¦ (More)