2013•Mathematica MoravicaOpen access

Some common fixed point theorems for converse commuting mappings via implicit relation

Xiaolan Liu, Sunny Chauhan, Shikha Chaudhari

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Abstract

In this paper, we utilize a class of implicit function studied by Imdad et al. [Some common fixed point theorems in Menger PM spaces, Fixed Point Theory Appl. Vol. 2010, Article ID 819269, 14 pages] and prove a common fixed point theorem for converse commuting mappings in Menger space. We give an example which demonstrate the validity of the hypotheses and degree of generality of our main result.

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In this paper, we utilize a class of implicit function studied by Imdad et al. [Some common fixed point theorems in Menger PM spaces, Fixed Point Theory Appl. Vol. 2010, Article ID 819269, 14 pages] and prove a common fixed point theorem for converse commuting mappings in Menger space. We give an example which demonstrate the validity of the hypotheses and degree of generality of our main result.

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Available abstract

In this paper, we utilize a class of implicit function studied by Imdad et al. [Some common fixed point theorems in Menger PM spaces, Fixed Point Theory Appl. Vol. 2010, Article ID 819269, 14 pages] and prove a common fixed point theorem for converse commuting mappings in Menger space. We give an example which demonstrate the validity of the hypotheses and degree of generality of our main result.

Key concepts: Converse, Generality, Mathematics, Fixed-point theorem, Fixed point, Class (philosophy), Coincidence point, Pure mathematics

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