Assume that A and B are non-void subsets of a metric space, and that S : A −→ B and T : A −→ B are given non-self mappings. In light of the fact that S and T are non-self mappings, it may happen that the equations Sx = x and Tx = x have no common solution, named a common fixed point of the mappings S and T . Subsequently, in the event that there is no common solution of the preceding equations,...

G. Jungck, 1986, Compatible mappings and common fixed points, Internat. J. Math & Math. Sci. 9, 771-779. G. Jungck, 1988, Compatible mappings and common fixed points (2), Internat. J. Math. & Math. Sci. 11,285-288. G. Jungck, P. P. Murthy and Y. J. Cho, 1993 Compatible mappings of type(A) and common fixed points, Math. Japonica 38,2, 381-390. H. K. Pathak and M. S. Khan, 1995, Compatible mappin...

The concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point results generalized and improved the corresponding recent result of Pathak and Shahzad 2009 and many au...

Abstract In this article, we study the Bohr operator for operator-valued subordination class $S(f)$ consisting of holomorphic functions subordinate to f in unit disk $\mathbb {D}:=\{z \in \mathbb {C}: |z|<1\}$ , where $f:\mathbb {D} \rightarrow \mathcal {B}(\mathcal {H})$ is and $\mathcal algebra bounded linear operators on a complex Hilbert space {H}$ . We establish several results, which c...

Second-order mappings obtained as reductions of integrable lattice equations are generally expected to have integrals that are ratios of biquadratic polynomials, i.e., to be of QRT-type. In this paper we find reductions of integrable lattice equations that are not of this type. The mappings we consider are exact reductions of integrable lattice equations proposed by Adler, Bobenko and Suris. Su...

We describe DMSL, a domain specific language for defining schema mappings. Schema mappings are assertions in carefully crafted logics that express constraints between data represented in different formats, including XML and relational schema. DMSL is suitable for representing programs over mappings, which, for instance, occur in dataflow graphs of mappings. DMSL programs of mapping type are sta...

The aim of this paper is to introduce the concepts of compatible mappings and compatible mappings of type (R) in non-Archimedean Menger probabilistic normed spaces and to study the existence problems of common fixed points for compatible mappings of type (R), also, we give an applications by using the main theorems.

‎‎Many authors such as Amini-Harandi‎, ‎Rezapour ‎et al., ‎Kadelburg ‎et al.‎‎, ‎have tried to find at least one fixed point for quasi-contractions when $alphain[frac{1}{2}‎, ‎1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version‎. In this paper‎, ‎we introduce some new strict fixed point results in the set of multi-valued '{C}iri'{c}-gener...