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.

In this paper, we prove a common fixed point theorem for semi-compatible and weakly compatible mappings in Fuzzy metric space using the property (E.A.) and implicit relation. Our result generalizes the result of Singh and Jain [14].

The aim of this paper is to present a common fixed point theorem in a metric space which extends the result of P.C.Lohani & V.H.Bhadshah using the weaker conditions such as Reciprocally continuous, Compatible mappings, Weakly compatible and Associated sequence.

In this paper we prove a fixed point theorem for six mappings in Menger space using the notion of weakly compatible.

In this paper the existence and approximation of a unique common fixed point of two families of weakly compatible self-maps on a complete metric space are investigated. An example is presented to show that our results for the mappings considered satisfying non-linear contractive type conditions are genuine generalizations of the recent result for metric spaces [B. Singh, S. Jain, A fixed point ...

Azam, A Fisfer, B, Khan, M: Common fixed point theorems in complex valued metric Spaces. Number. Funct. Anal. Optim. . 32(3), 243-253 (2011). B. C. Dhage, Generalized metric spaces and mappings with fixed point, Bull. Calcutt Math. Soc. 84 (1992), 329-336. B. C. Dhage, " On generalized metric spaces and topological structure. II," Pure and applied Mathematika Sciences, Vol. 40, no. 1-...

In this paper, we prove some fixed point theorems for weakly compatible mappings by improving the conditions of Som [8].

In this note a common fixed point theorem for weakly compatible mappings in a metric space is proved which, improves the results of Ciric [3], Fisher [4], Pant [8],[9] and Popa et al.[10]. Resumen. En esta nota se prueba un teorema de punto fijo común para las funciones débilmente compatibles en un espacio métrico que mejora los resultados de Ciric [3], Fisher [4], Pant [8],[9] y Popa et al.[10].