Unique Common Fixed Point Results with Application in Fuzzy Metric Spaces
Vishal Gupta1, Adesh Kumar Tripathi2, Naveen Mani3
1Vishal Gupta*, Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India.
2Adesh Kumar Tripathi, Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India.
3Naveen Mani, Department of Mathematics, Sandip University, Maharashtra, India.
Manuscript received on November 13, 2019. | Revised Manuscript received on 23 November, 2019. | Manuscript published on December 10, 2019. | PP: 2527-2529 | Volume-9 Issue-2, December 2019. | Retrieval Number: B7134129219/2019©BEIESP | DOI: 10.35940/ijitee.B7134.129219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Fixed points in fuzzy theory plays a very significant task in the field of mathematical and computer sciences. This theory has numerous applications in the area of communication and technology, computer science and information security and many others. Many researchers established the results of point for an assortment of mappings in different metric spaces. In present paper, our aim is to establish a common fixed point theorem satisfying generalized contraction in FMS. We also bestow an application for integral type contraction.
Keywords: Integral Equations, fixed Point, Fuzzy Metric Spaces (FMS), Contraction Mapping. :54H25, 47S40, 54A40.
Scope of the Article: Fuzzy Logics