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Citation - WoS: 9
Citation - Scopus: 12
Some Integral Type Common Fixed Point Theorems Satisfying Φ-Contractive Conditions
(Belgian Mathematical Soc Triomphe, 2014) Chauhan, Sunny; Karapinar, Erdal
In this manuscript, we obtain some common fixed point results of two pairs having the common limit range property in the setting of integral type contraction in the framework of symmetric (semi-metric) spaces. Moreover, we extend our results from two pairs of self-mappings to four finite families of self mappings to get common fixed points. Our results improve and extend a host of previously known results. Further, we establish some illustrative examples to show the validity of the main results.
Citation - WoS: 16
Citation - Scopus: 16
Fixed Points of Weakly Compatible Mappings Satisfying Generalized Φ-Weak Contractions
(Malaysian Mathematical Sciences Soc, 2015) Vetro, Calogero; Chauhan, Sunny; Karapinar, Erdal; Shatanawi, Wasfi
In this paper, utilizing the notion of the common limit range property, we prove some new integral type common fixed point theorems for weakly compatible mappings satisfying a phi-weak contractive condition in metric spaces. Moreover, we extend our results to four finite families of self mappings, and furnish an illustrative example and an application to support our main theorem. Our results improve, extend, and generalize well-known results on the topic in the literature.