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Common Fixed Point Theorems in Metric Space by Altering Distance Function
Applied Mathematics & Humanities Department, S.V. National Institute of Technology, Gujarat, India
Department of Mathematics, Indira Gandhi National Tribal University, Madhya Pradesh, India
Department of Mathematics, AISECT University, Bhopal, India
Department of Mathematics, TIT Group of Institutes, Anand Nagar, India
Department of Mathematics, Integral University, Lucknow, India
- 1 Applied Mathematics & Humanities Department, S.V. National Institute of Technology, Gujarat, India
- 2 Department of Mathematics, Indira Gandhi National Tribal University, Madhya Pradesh, India
- 3 Department of Mathematics, AISECT University, Bhopal, India
- 4 Department of Mathematics, TIT Group of Institutes, Anand Nagar, India
- 5 Department of Mathematics, Integral University, Lucknow, India
Advances in Pure Mathematics·Volume 07 (2017)·Pages 335–344·Published 9 June 2017·DOI10.4236/apm.2017.76020
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Abstract
In the present paper, we prove two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering distance. In second result, we prove a unique common fixed point theorem by considering four sub compatible maps under a contractive condition of integral type.
KeywordsAltering Distance FunctionSub Compatible
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