We introduce the notions of JH-operators and occasionally weakly g-biased mappings in fuzzy symmetric spaces to prove common fixed point theorems for self-mappings satisfying a generalized mixed contractive condition. We also prove analogous results for two pairs of JH-operators by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement many results existing in the recent literature. We give also an application of our results to product spaces.
Lo Cicero, M.L., Sihag, V., Vats, H.K., Vetro, C. (2013). JH-Operators and occasionally weakly g-biased pairs in fuzzy symmetric spaces. JOURNAL OF NONLINEAR ANALYSIS AND APPLICATION, 2013, 1-10 [10.5899/2013/jnaa-00124].
JH-Operators and occasionally weakly g-biased pairs in fuzzy symmetric spaces
LO CICERO, Maria Lucia;VETRO, Calogero
2013-01-01
Abstract
We introduce the notions of JH-operators and occasionally weakly g-biased mappings in fuzzy symmetric spaces to prove common fixed point theorems for self-mappings satisfying a generalized mixed contractive condition. We also prove analogous results for two pairs of JH-operators by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement many results existing in the recent literature. We give also an application of our results to product spaces.
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