Various Fixed Points Results of Cyclic Mappings Satisfying Integral Contraction Conditions

The metric principles are very popular tool which are used to solve existence problems in many branches of mathematical analysis and its applications, especially those derived from Banach's principle. It is no surprise that there is a great number of generalizations of this fundamental theorem in various spaces and under different conditions. The purpose of this paper is to driving new generalizations of known fixed point principles (Bnanch, Kannan, Chatterge, Ciric, Kumam, et al. and Gupta, et al.) by merging the concept of cyclic mapping and various types of integral contractive conditions. The present findings extend the theorems in the references cited in the research as revealed through this work. An interesting feature about the work is that continuity of a mapping is no longer needed since there are discontinuous mappings can satisfy all the assumptions. It should be noted that the results are illustrated with examples.