In this paper, we prove common fixed point theorems for a pair of weakly compatible maps under E.A .property. A major benefit of property (E.A.) is that it ensures convergence of desired sequences without completeness. At the end we rectify the main result of the paper, entitled “Common fixed points for weakly compatible maps, Proc. Indian Acad. Sci. (Math. Sci.) Vol. 111(2001), No. 2, pp 241-247.

We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many examples are presented to show the difference between these other types in literature. Moreover, we obtain several common fixed point results by using (E.A) property. then employ establish existence uniqueness solution for class nonlinear integral equations.

We show that under minor technical assumptions any weakly nonlocal Hamiltonian structures compatible with a given nondegenerate weakly nonlocal symplectic operator J can be written as the Lie derivatives of J along a suitably chosen nonlocal vector field. Moreover, we present a new description for local Hamiltonian structures of arbitrary order compatible with a given nondegenerate local Hamilt...

This paper gives a purely syntactical proof, based on proof normalization techniques, of an extension of Chew's theorem. The main theorem is that a weakly compatible TRS is uniquely normalizing. Roughly speaking, the weakly compatible condition allows possibly nonlinear TRSs to have nonroot overlapping rules that return the same results. This result implies the consistency of CL-pc which is an ...

In this paper, we introduce the notion of complex valued Gmetric spaces and prove a common fixed point theorem for weakly compatible maps in this newly defined spaces. Mathematics Subject Classification (2000): 47H10, 54H25.