New fixed point results for contractive maps involving dominating auxiliary functions

Volume 9, Issue 6, pp 4114--4126 http://dx.doi.org/10.22436/jnsa.009.06.55

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Authors

Nawab Hussain - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. Abdul Latif - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. Peyman Salimi - Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran.

Abstract

In this paper, we establish certain new fixed point theorems for contractive inequalities using an auxiliary function which dominates the ordinary metric function. As application, we derive some recent known results as corollaries. Certain interesting consequences of our results are also presented. An example is given to illustrate the usability of the obtained results.

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Keywords

• Triangular \(\alpha\)-admissible mapping
• F-contraction
• indirected metric space.

MSC

•  46N40
•  47H10
•  54H25
•  46T99

References

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