Vonneumann Publishing House Ink CanadaCommunications in Nonlinear Analysis2371-79207120191001PPF Dependent Fixed Points Of Generalized Contractions Via C_G-Simulation Functions11693044ENMadugula Vinod KumarDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaGutti Venkata Ravindranadh BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaJournal Article20190807In this paper, we introduce the notion of generalized Z<sub>G,α,μ,η,φ <sup>-</sup></sub>contraction<br />with respect to the C_G-simulation function introduced by Liu, Ansari, Chandok<br />and Radenovic [20] and prove the existence of PPF dependent fixed points in<br />Banach spaces. We draw some corollaries and an example is provided to illustrate<br />our main result.Vonneumann Publishing House Ink CanadaCommunications in Nonlinear Analysis2371-79207120191001Common Fixed Points of (α,Ψ,φ)- Almost Generalized Weakly Contractive Maps in S-metric spaces173593094ENP SailajaLendi Institute of Engineering and TechnologyGutti VenkataRavindranadh BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaGadhavajjala SrichandanaSITAM-GVPJournal Article20190817In this paper, we introduce a pair of (α,Ψ,φ)-almost generalized weakly contractive maps in S-metric spaces and prove the existence and uniqueness of common fixed points of such maps under weakly compatible property. Our results extend and generalize the results of Babu and Leta to a pair of maps in S-metric spaces and also generalize the result of Sedghi, Shobe, and Aliouche. We provide examples in support of our results.Vonneumann Publishing House Ink CanadaCommunications in Nonlinear Analysis2371-79207120191001Fixed Point Results for Multivalued Operator in G-metric Space364992588ENSaurabh ManroTejwant SinghDepartment of Mathematics, Desh Bhagat University, Mandi Gobindgarh, Punjab, IndiaANIMESH GuptaDepartment of Mathematics, Sagar Institute of Engineering, Technology and Research, Ratibad Bhopal (M.P.), IndiaRajveer KaurDepartment of Mathematics, Desh Bhagat University, IndiaJournal Article20190715In this paper, we shall give some results on xed points of multivalued operator on Gmetric spaces by using the method of Kikkawa [6]. Our results generalize and extend some old xed point theorems to the multivalued case.