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In this paper, we introduce the concepts of cyclic weakly (ψ, φ)-contractive mappings and cyclic weakly (C,ψ, φ)-contractive mappings, and prove some fixed point theorems for such two types of mappings in complete partially ordered Menger PM-spaces. Some new results are obtained, which extend and generalize some fixed point results in metric and probabilistic metric spaces. Some examples are given to support our results. c ©2015 All rights reserved.

Fixed point theorems for two new types of cyclic weakly contractive mappings in partially ordered Menger PM-spaces