Common Fixed Point Theorems on Compatibility and Continuity in Soft Metric Spaces

Authors

  • Ramakant Bhardwaj Department of Mathematics, Amity University Kolkata, West Bengal, India; Department of Mathematics, APS University, Rewa, Madhya Pradesh, India https://orcid.org/0000-0002-1538-5615
  • Shweta Singh School of Engineering and Technology, Jagran Lake City University, Bhopal, Madhya Pradesh, India https://orcid.org/0000-0003-2576-4907
  • Sonendra Gupta Department of Mathematics, Oriental College of Technology, Bhopal, Madhya Pradesh, India
  • Vipin Kumar Sharma Department of Mathematics, Government Ganesh Sankar Vidhyarthi College, Mungaoli Ashoknagar, Madhya Pradesh, India https://orcid.org/0000-0001-9238-6040

DOI:

https://doi.org/10.26713/cma.v12i4.1657

Keywords:

Soft metric space, Soft element, Soft set, Soft mappings, Soft continuous mapping, Soft contractive mapping, Fixed point theorem

Abstract

In this paper, basic notions of soft sets are introduced and some important properties of soft metric spaces are established. It is shown that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduce from comparable existing results. Some examples are given to validate and illustrate the approach. Obtained results modify, improve, sharpen, enrich and generalize various known results.

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Published

13-12-2021
CITATION

How to Cite

Bhardwaj, R. ., Singh, S. ., Gupta, S. ., & Sharma, V. K. (2021). Common Fixed Point Theorems on Compatibility and Continuity in Soft Metric Spaces. Communications in Mathematics and Applications, 12(4), 951–968. https://doi.org/10.26713/cma.v12i4.1657

Issue

Vol. 12 No. 4 (2021)

Section

Research Article

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