Weak Contraction Condition Involving Cubic Terms of dx,y under the Fixed Point Consideration

الملخص EN

A fixed point theorem is presented for single-valued map with using generalized φ-weak contractive condition involving various combinations of dx,y on a complete metric space.

Our result is an extension as well as a generalization of Alber and Guerre-Delabriere (1997) in particular.

It also generalizes the results of Rhoades (2001), Choudhury and Dutta, (2000), and Dutta and Choudhury, (2008).