In this paper, we introduce generalized cyclic φ-contraction maps in metric spaces and give some results of best proximity points of such mappings in the setting of a uniformly convex Banach space. Moreover, we obtain convergence and existence results of proximity points of the mappings on reflexive Banach spaces

In this paper, we introduce a cone generalized semi-cyclicφ−contraction maps and prove best proximity points theorems for such mapsin cone metric spaces. Also, we study existence and convergence results ofbest proximity points of such maps in normal cone metric spaces. Our resultsgeneralize some results on the topic.

introduction: the study on psychology of marriage rooted in the social issues. the field has also found its way to biomedicine. the current research, based on the document-term clustering methods, focus on term-proximity of documents that were related to the field of psychology of marriage in biomedicine literature. methods: the co-occurrence frequency of terms within the two different corpuses...

Abstract Proximity search is an iterative method to solve complex mathematical programming problems. At each iteration, the objective function of problem at hand replaced by Hamming distance a given solution, and cutoff constraint added impose that any new obtained solution improves value. A mixed integer solver used find feasible this modified problem, yielding improved original problem. This ...

in this paper, based in the l ukasiewicz logic, the definition offuzzifying soft neighborhood structure and fuzzifying soft continuity areintroduced. also, the fuzzifying soft proximity spaces which are ageneralizations of the classical soft proximity spaces are given. severaltheorems on classical soft proximities are special cases of the theorems weprove in this paper.