New extension of some common fixed point theorems in complete metric spaces


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	New extension of some common fixed point theorems in complete metric spaces


	Fixed Point Theory, Volume 20, No. 2, 2019, 567-580, June 1st, 2019 DOI: 10.24193/fpt-ro.2019.2.37 Authors: Murchana Neog, Pradip Debnath and Stojan Radenović Abstract: In the current paper, some common fixed point theorems are presented for generalized φ-weak contraction mappings and A_φ-contraction mappings. Also, we examine the existence and uniqueness of common fixed points for single-valued mappings satisfying the notion of weak compatibility in a complete metric space. Our results generalize and extend many results existing in literature. Key Words and Phrases: Common fixed point, complete metric space, weakly compatible maps. 2010 Mathematics Subject Classification: 47H10, 54H25, 54E50. Published on-line: June 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents