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Citation - WoS: 16
Citation - Scopus: 19
Common Fixed Point of Generalized Rational Type Contraction Mappings in Partially Ordered Metric Spaces
(Chiang Mai Univ, Fac Science, 2013) Chandok, Sumit; Karapinar, Erdal; Mathematics
Some common fixed point results for generalized weak contractive condition satisfying rational type expressions in the frame work of partially ordered metric spaces are obtained. The proved results generalize and extend some known results in the literature.
Citation - WoS: 14
Citation - Scopus: 18
Some fixed point theorems for (α, ψ)-rational type contractive mappings
(Springer international Publishing Ag, 2015) Alsulami, Hamed H.; Chandok, Sumit; Taoudi, Mohamed-Aziz; Erhan, Inci M.
In this paper, we introduce the concept of (alpha, psi)-rational type contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in the setting of generalized metric spaces. We also deduce several interesting corollaries.