Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, ?iri?-quasi contraction and weak in the framework a metric space. We prove fixed point theorems for such type over complete spaces with help ? -diminishing property. Some examples are given strengthening hypothesis our established theorems.

The well-known Banach’s fixed point theorem asserts that ifD X, f is contractive and X, d is complete, then f has a unique fixed point inX. It is well known that the Banach contraction principle 1 is a very useful and classical tool in nonlinear analysis. In 1969, Boyd and Wong 2 introduced the notion ofΦ-contraction. A mapping f : X → X on a metric space is called Φ-contraction if there exists...

For a family of graphs G, the G-Contraction problem takes as an input graph G and integer k, goal is to decide if there exists subset F⊆E(G) size at most k such that G/F in G. Here, obtained from by contracting all edges F. In this article, we initiate study Grid Contraction parameterized complexity point view. We present fixed parameter tractable algorithm, running time 2O(k)⋅|V(G)|O(1), for p...

A quantum chemical investigation was carried out to study the properties of intermolecular F•••F, Br•••Br and Br•••O interactions in crystalline 1-bromo-2,3,5,6-tetrafluoro-nitrobenzene (BFNB). This system was selected to mimic the halogen-halogen as well as halogen bonding interactions found within crystal structures as well as within biological systems. We found that fluorine atoms have weak ...

In this paper, we introduce a pair of generalized proximal contraction mappings and prove the existence of a unique best proximity point for such mappings in a complete metric space. We provide examples to illustrate our result. Our result extends some of the results in the literature.

In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...