We characterize the completeness of fuzzy quasi-metric spaces by means a fixed point theorem Kannan-type.Thus, we extend classical characterization metric due to Subrahmanyam as well recent resultsin literature on and completeness, respectively. Wealso introduce discuss contractions Chatterjea-type in this asymmetric context.

Introduction Dietary deficiency of Vitamin B12 is a well recognized causative factor in the nutritional macrocytic anaemia seen in the Indian sub-continent (Chatterjea, 1958). A significant proportion of the Indian population may be classed as vegetarian, and in this group a lowering of the serum Vitamin B12 level has been clearly shown (Banerjee and Chatterjea, 1960). It is the purpose of this...

In this work, we first introduce the concept of approximate sequence and establish some new convergence theorems for approximate sequences. By applying our new convergence theorems, we obtain new best proximity point theorems which improve and generalize some known results in the literature. As applications, some simultaneous generalizations of common fixed point theorems of Banach type, Kannan...

Baker, S. J., Ignatius, M., Johnson, S., and Vaish, S. K. (1963). Bri. med. 7., 1, 1713. Chhuttani, P. N. (1948). Indian med. Gaz., 83, 508. Crosby, W. H., and Kugler, H. W. (1957). Amer. 7. dig. Dis., 2, 236. Das Gupta, C. R., and Chatterjea, J. B. (1951). Blood, 6, 631. Friedlander, R. D. (1934). Amer. 7. med. Sci., 187, 634. Glass, G. B. J., Boyd, L. J., Gellin, G. A., and Stephanson, L. (19...

In this paper, we shall establish two fixed point theorems by following the concept of [9, 21] and using weak contractions of the integral type. Our results are generalizations of the classical Banach’s fixed point theorem [1, 2, 3, 4, 5, 7, 25] as well as extensions of some other results of Berinde [4, 5, 6, 7], Berinde and Berinde [8], Branciari [9], Chatterjea [10], Kannan [16] and Zamfiresc...

In this paper, we establish a common fixed point theorem for pair of quasi triangular α-orbital admissible with an interpolative (φ, ψ)- Banach-Kannan-Chatterjea type Z-contraction mappings respect to simulation function in complete metric space. An illustrative example is furnished validate our main result. Our result extends the M. S. Khan et al. [15]. As application, provide existence soluti...

In this work, we introduce the concept of a hyperbolic valued dislocated metric space, and show that fixed point self-mappings in such spaces is exist unique by using Banach, Kannan Chatterjea type contractions. Furthermore, discuss an illustrative example to substantiate applicability usefulness our main result.

*Correspondence: [email protected] 2Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independenţei, Bucharest, 060042, Romania Full list of author information is available at the end of the article Abstract In this article, we introduce the notion of a Chatterjea-type cyclic weakly contraction and derive the existence of a fixed point for such mappings in the setu...