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Article Citation - WoS: 40Citation - Scopus: 47Generalized contractions with triangular α-orbital admissible mapping on Branciari metric spaces(Springeropen, 2016) Arshad, Muhammad; Ameer, Eskandar; Karapinar, ErdalThe purpose of this paper is to generalize fixed point theorems introduced by Jleli et al. (J. Inequal. Appl. 2014: 38, 2014) by using the concept of triangular alpha-orbital admissible mappings established in Popescu (Fixed Point Theory Appl. 2014: 190, 2014). Some examples are given here to illustrate the usability of the obtained results.Article Citation - WoS: 35Citation - Scopus: 46Some unique fixed point theorems for rational contractions in partially ordered metric spaces(Springeropen, 2013) Arshad, Muhammad; Karapinar, Erdal; Ahmad, JamshaidIn this paper, we prove some unique fixed point results for an operator T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize the main result of Jaggi (Indian J. Pure Appl. Math. 8(2):223-230, 1977). We give several examples to show that our results are proper generalization of the existing one. MSC: 47H10, 54H25, 46J10, 46J15.Article Citation - WoS: 27Some Common Fixed Point Results in Rectangular Metric Spaces(Hindawi Ltd, 2013) Arshad, Muhammad; Ahmad, Jamshaid; KarapJnar, ErdalWe obtain sufficient conditions for the existence of unique common fixed point of (psi-phi)-weakly contractive mappings on complete rectangular metric spaces. In the process, we generalize several fixed point results from the literature. We also give an example to illustrate our work.
