Banach Journal of Mathematical Analysis

Some coincidence and periodic points results in a metric space endowed with a graph and applications

Mujahid Abbas, Dhananjay Gopal, Deepesh Kumar Patel, and Calogero Vetro

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The purpose of this paper is to obtain some coincidence and periodic points results for generalized $F$-type contractions in a metric space endowed with a graph. Some examples are given to illustrate the new theory. Then, we apply our results to establishing the existence of solution for a certain type of nonlinear integral equation.

Article information

Banach J. Math. Anal., Volume 9, Number 3 (2015), 128-139.

First available in Project Euclid: 19 December 2014

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Zentralblatt MATH identifier

Primary: 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]
Secondary: 54H25: Fixed-point and coincidence theorems [See also 47H10, 55M20] 05C40: Connectivity

Coincidence point nonlinear integral equation periodic point


Gopal, Dhananjay; Vetro, Calogero; Abbas, Mujahid; Patel, Deepesh Kumar. Some coincidence and periodic points results in a metric space endowed with a graph and applications. Banach J. Math. Anal. 9 (2015), no. 3, 128--139. doi:10.15352/bjma/09-3-9.

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