recently, choudhury and metiya [fixed points of weak contractions in cone metric spaces, nonlinear analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. weak contractions are generalizations of the banach's contraction mapping, which have been studied by several authors. in this paper, we introduce the notion of $f$-weak contractions and als...

This paper is devoted to prove the S. L. Singh’s common fixed point Theorem for commuting mappings in cone metric spaces. In this framework, we introduce the notions of generalized Kannan contraction, generalized Zamfirescu contraction and generalized Weak contraction for a pair of mappings, proving afterward fixed point results.

We establish a general theorem to approximate common fixed points of Ciric quasi-contractive operators on a normed space through the modified Ishikawa iteration process with errors in the sense of Xu [21]. Our result generalizes and improves upon, among others, the corresponding results of [2, 15]. 2000 Mathematics Subject Classification: Primary 47H10, 47H17; Secondary 54H25

The aim of this paper is to study an implicit iterative process for a finite family of T-Ciric quasi-contractive operators and also establish the strong convergence of above said iteration process using the common fixed points of a finite family of above said operators in the framework of CAT(0) spaces. Our results improve and extend some corresponding recent results from the current existing l...

In this paper, we introduce and study the system of generalized vector quasi-variational-like inequalities in Hausdorff topological vector spaces. By means of fixed point theorem, we obtain existence theorem for the system of generalized vector quasi-variational-like inequalities and also derive the existence result of solutions for the generalized vector quasi-variational-like inequalities. Ke...

The purpose of this paper is to construct a weak hyper semi-quantale as a generalization of the concept of semi-quantale and used it as an appropriate hyperlattice-theoretic basis to formulate new lattice-valued topological theories. Based on such weak hyper semi-quantale, we aim to construct the notion of a weak hypervalued-topology as a generalized form of the so-called lattice-valued t...

* Correspondence: ming@mail. nhcue.edu.tw Department of Applied Mathematics, National Hsinchu University of Education, Hsin-Chu, Taiwan Full list of author information is available at the end of the article Abstract In this article, we introduce the notions of (j φ)-weak contraction mappings and (ψ φ)-weak contraction mappings in complete generalized metric spaces and prove two theorems which a...

The aim of this article is to prove some fixed point theorems in the context of dislocated quasi metric spaces. We have established a new fixed point theorem in complete dislocated quasi metric space using some new type of rationl contraction conditions. We have also proved a unique fixed point for generalized contraction by omitting the condition of continuity imposed by C. T. Aage and J. N. S...