Common Fixed Point Theorems of Quadruple Mappings Satisfying \(CLR\) Property in \(G_p\) Metric Spaces With Applications

Authors

  • Rakesh Tiwari Department of Mathematics, Government V.Y.T. Post-Graduate Autonomous College, Durg, Chhattisgarh 491001
  • S. K. Srivastava Department of Mathematics and Statistics, Deen Dayal Upadhyay Gorakhpur University, Gorakhpur, Uttar Pradesh 273009
  • Shashi Thakur Department of Mathematics, Government C.L.C. Arts and Commerce College, Dhamdha, Chhattisgarh

DOI:

https://doi.org/10.26713/cma.v11i3.1402

Keywords:

Fixed point, Common fixed point, Weak compatible maps, Almost altering distance, New CLR property

Abstract

The aim of this paper is to establish common fixed point theorems for quadruple of weakly compatible mappings satisfying a new type of common limit range property and involving almost altering distances in \(G_p\) metric space. Furthermore, we present an example to validate our main result. Further, we obtain some common fixed point theorems for mappings satisfying contractive conditions of integral type and for \(\varphi\)-contractive mappings.

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Published

30-09-2020
CITATION

How to Cite

Tiwari, R., Srivastava, S. K., & Thakur, S. (2020). Common Fixed Point Theorems of Quadruple Mappings Satisfying \(CLR\) Property in \(G_p\) Metric Spaces With Applications. Communications in Mathematics and Applications, 11(3), 297–309. https://doi.org/10.26713/cma.v11i3.1402

Issue

Vol. 11 No. 3 (2020)

Section

Research Article

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