In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using notion of k-ellipse on metric space. For purpose, are inspired by Caristi type mapping, Kannan contraction, Chatterjea contraction and Ćirić contraction. After that, give some existence uniqueness theorems fixed k-ellipse. We also support our obtained with illustrative examples. Finally, pr...

As the generalization of fixed-point theory, fixed-circle problems are interesting and notable geometric constructions. In this paper, we prove that some new necessary conditions investigated for existence a fixed circle given self-mapping in G -metric spaces. The well-known Braincari Chatterj...

We establish some common fixed point theorems for Kannan fuzzy mappings on closed balls in a complete metric space. Our investigation is based on the fact that fuzzy fixed point results can be obtained simply from the fixed point theorem of multivalued mappings with closed values. In real world problems there are various mathematical models in which the mappings are contractive on the subset of...

In this work‎, ‎we formulate Chatterjea contractions using graphs in metric spaces endowed with a graph ‎‎and‏ ‎‎‎‎investigate ‎the ‎existence‎ ‎of ‎fixed ‎points ‎for such mappings ‎under two different hypotheses‎. We also discuss the uniqueness of the fixed point. The given result is a generalization of Chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.

The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...

The aim of the paper is to study some generalizations of weakly Kannan and weakly Chatterjea-type contractive mappings in the setting of partial metric spaces. Some important outcomes are stated and proved, extending classic fixed point and best proximity point theorems. Examples are given in order to emphasize the utility of the main results.

Phosphorylation-state-dependent regulation of NMDA receptor short-term plasticity 1 modifies hippocampal dendritic Ca transients 2 3 Debika Chatterjea, Edaeni Hamid, John P. Leonard & Simon Alford 4 5 Department of Biological Sciences and Laboratory of Integrative Neuroscience, 6 University of Illinois at Chicago, 840 West Taylor St. Chicago, IL 60607 7 8 Running head: phosphorylation and NMDA ...

In this paper, the concept of cyclic (φ− ψ)-Kannan and cyclic (φ− ψ)-Chatterjea contractions, and fixed point theorems for these types of mappings in the context of complete metric spaces have been introduced. The results proved here extend some fixed point theorems in the literature.

In the framework of ordered G-metric spaces, fixed points of maps that satisfy the generalized (ψ, φ)-Chatterjea type contractive conditions are obtained. The results presented in the paper generalize and extend several well known comparable results in the literature.

The function and structure of the small intestine in iron-deficiency anaemia has been studied in adults with conflicting results (Rawson and Rosenthal, 1960; Vartio, 1962; Halsted, Prasad, and Nadimi, 1965; Saha, Chatterjea, and Chaudhuri, 1965). Only one group of workers has studied this problem in infancy and early childhood (Naiman et al., 1964). We here record our observations on small inte...