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H. K. Pathak, S. N. Mishra and A. K. Kalinde, Common xed point theorems with applications to nonlinear integral equations. Demonstratio Math., XXXII (1999).

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Article

Some Fixed Point Results on Multiplicative (b)-metric-like Spaces

1Department of Mathematics, University of Peshawar, Peshawar, Pakistan


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 5, 118-131
DOI: 10.12691/tjant-4-5-1
Copyright © 2016 Science and Education Publishing

Cite this paper:
Bakht Zada, Usman Riaz. Some Fixed Point Results on Multiplicative (b)-metric-like Spaces. Turkish Journal of Analysis and Number Theory. 2016; 4(5):118-131. doi: 10.12691/tjant-4-5-1.

Correspondence to: Bakht  Zada, Department of Mathematics, University of Peshawar, Peshawar, Pakistan. Email: bakhtzada56@gmail.com, bakhtzada56@yahoo.com

Abstract

We give the concept of multiplicative partial metric space, multiplicative metric-like space, multiplicative b-metric space and multiplicative b-metric-like space. Then we build the existence and uniqueness of fixed points in a multiplicative b-metric-like space as well as in a partially ordered multiplicative b-metric-like space. We derive some fixed point results in multiplicative partial metric spaces, multiplicative metric-like spaces and multiplicative b-metric spaces as an application, some examples and an application to existence of solution of integral equations.

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