In this paper, we establish new convergence theorems and best proximity point theorems for a pair of nonlinear non-self mappings in metric spaces. Mathematics Subject Classification: 41A17, 41A65

In this paper we use the concept of a pair of asymptotically regular and compatible mappings to prove some common fixed point theorems in a complete fuzzy 2-metric space.

The definition of data transformations between heterogeneous schemas is a critical activity of any database application. Currently, automated tools provide high level interfaces for the discovery of correspondences between elements of schemas, but transformations (i.e., schema mappings) need to be manually specified every time from scratch, even if the problem at hand is similar to one that has...

and Applied Analysis 3 that w fw gw, that is, w is a common fixed point for f, g . If z is any common fixed point for f, g (i.e., fz gz z , then, again by the uniqueness of POC, it must be z w. The following result is due to Ðorić et al. [21]. It shows that the results of Jungck and Rhoades are not generalizations of results obtained from Lemma 2.1. Proposition 2.3 (see [21]). Let a pair of map...

People can learn word-referent pairs over a short series of individually ambiguous situations containing multiple words and referents (Yu & Smith, 2007, Cognition 106: 1558-1568). Cross-situational statistical learning relies on the repeated co-occurrence of words with their intended referents, but simple co-occurrence counts cannot explain the findings. Mutual exclusivity (ME: an assumption of...

The purpose of this paper is to present a common fixed point theorem for pair R-weakly commuting mappings defined on b-fuzzy metric spaces satisfying nonlinear contractive conditions Boyd-Wong type, obtained in D. W. Boyd, J. S. Wong: On contractions, Proc. Amer. Math. Soc. 20 (1969), 458-464.

The aim of this paper is to prove a coupled fixed point theorem for a pair of mappings in complex valued metric space, which generalized the results of Marwan Amin Kutbi et al. [4] General Terms: 47H10, 54H25