In this paper xed point and coincidence results are presented for two and three single-valued map-pings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi(2008).

In this paper, we prove some coupled fixed point theorems satisfying a Meir-Keeler type contractive condition for mappings enjoying the mixed monotone property in ordered partial metric spaces.

We introduce an implicit method for nding a common element of the set of solutions of systems of equilibrium problems and the set of common xed points of a sequence of nonexpansive mappings and a representation of nonexpansive mappings. Then we prove the strong convergence of the proposed implicit schemes to the unique solution of a variational inequality, which is the optimality condition for ...

Global business information systems are examined with respect to current information systems development approaches. Many of the latter are deemed to be inadequate because they are inherently static, both in nature and in the way they are developed, and because they are both functionally and at the user interface level, not adaptive enough. An explanation for why this is so is oflered, through ...

We consider foundational questions related to the de nition of functions by corecursion. This method is especially suited to functions into the greatest xed point of some monotone operator, and it is most applicable in the context of non-wellfounded sets. We review the work on the Special Final Coalgebra Theorem of Aczel [NWF] and the Corecursion Theorem of Barwise and Moss [VC]. We prove some ...

In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f -MK -pair mappings and f -CJM-pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfie...

We present a new xed point theorem akin to the Banach contraction mapping theorem but in the context of a novel notion of generalized metric space and show how it can be applied to anal yse the denotational semantics of certain logic programs The theorem is obtained by generaliz ing a theorem of Priess Crampe and Ribenboim which grew out of applications within valuation theory but is also inspi...

Two common fixed point results of Meir and Keeler type for four weakly compatible mappings are obtained which complement, improve and extend various previous ones existing in the literature especially the result of [2].