Browsing by Author "Hussain, N."

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Citation - WoS: 6
Citation - Scopus: 9
Cyclic (φ)-Contractions in Uniform Spaces and Related Fixed Point Results
(Hindawi Ltd, 2014) Hussain, N.; Karapinar, E.; Sedghi, S.; Shobkolaei, N.; Firouzian, S.; Mathematics
First, we define cyclic (phi)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (phi)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are provided to demonstrate the usability of the proved theorems.
Citation - WoS: 3
Citation - Scopus: 3
On Modified Α-Φ Meir-Keeler Contractive Mappings
(Univ Nis, Fac Sci Math, 2014) Salimi, P.; Hussain, N.; Roldan, A.; Karapinar, E.; Mathematics
Samet et al. [Nonlinear Anal. 75: 2154-2165, 2012] introduced and studied alpha-psi-contractive mappings. More recently Salimi, et al. [Fixed Point Theory Appl., 2013: 151] modified the notion of alpha-psi-contractive mappings and improved the fixed point theorems in [20, 32]. Here we utilize these notions to establish fixed point results for modified alpha-phi-asymmetric Meir-Keeler contractions and triangular alpha-admissible mappings defined on G-metric and cone G-metric spaces. Several interesting consequences of our theorems are also provided here to illustrate the usability of the obtained results.