Generalized (varphi,psi)-weak contractions involving (f,g)-reciprocally continuous maps in fuzzy metric spaces
Generalized (varphi,psi)-weak contractions involving (f,g)-reciprocally continuous maps in fuzzy metric spaces
Summary: We introduce the notion of \((f,g)\)-reciprocal continuity in fuzzy metric spaces and prove a common fixed point theorem for a pair of sub-compatible maps by employing a generalized \((\varphi,\psi)\)-weak contraction. As an application of our result, we prove a theorem for a \((\varphi,\psi)\)-weak cyclic contraction in fuzzy metric spaces.
- University of Palermo Italy
reciprocally continuous maps, Fuzzy topology, Fixed-point and coincidence theorems (topological aspects), Metric spaces, metrizability, Common fixed point, cyclic contraction, reciprocally continuous maps, sub-compatible maps., sub-compatible maps, cyclic contraction, Weak and generalized continuity, common fixed point
reciprocally continuous maps, Fuzzy topology, Fixed-point and coincidence theorems (topological aspects), Metric spaces, metrizability, Common fixed point, cyclic contraction, reciprocally continuous maps, sub-compatible maps., sub-compatible maps, cyclic contraction, Weak and generalized continuity, common fixed point
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