Contractive mapping theorems in Partially ordered metric spaces

Abstract

The purpose of this paper is to establish some coincidence, common fixed point theorems for monotone $f$-non decreasing self mappings satisfying certain rational type contraction in the context of a metric spaces endowed with partial order. Also, the results involving an integral type of such classes of mappings are discussed in application point of view. These results generalize and extend well known existing results in the literature.

Keywords

• partially ordered metric spaces
• rational contractions
• compatible mappings
• weakly compatible mappings