Fixed Point for Weakly Compatible Maps Satisfying Generalized Contraction Principle

Authors

  • J. Mehta Harish Chandra Research Institute, Allahabad (India)
  • M. L. Joshi Department of Mathematics, M. & N. Virani Science College, Rajkot, India

DOI:

https://doi.org/10.3329/jsr.v3i3.6476

Keywords:

Common fixed point, Weakly compatible maps, Control function, Invariant approximation.

Abstract

We prove common fixed point theorems for a pair of weakly compatible mappings satisfying a generalized contraction principle by using a control function and implicit relation. We also establish invariant approximation result as an application of the result.

Keywords: Common fixed point; Weakly compatible maps; Control function; Invariant approximation.

© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

doi:10.3329/jsr.v3i3.6476               J. Sci. Res. 3 (3), 549-555 (2011)

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Author Biographies

J. Mehta, Harish Chandra Research Institute, Allahabad (India)

Harish Chandra Research Institute, Allahabad (India)

M. L. Joshi, Department of Mathematics, M. & N. Virani Science College, Rajkot, India

M. L. Joshi

Department of Mathematics, M. & N. Virani Science College, Rajkot, India

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Published

2011-08-28

How to Cite

Mehta, J., & Joshi, M. L. (2011). Fixed Point for Weakly Compatible Maps Satisfying Generalized Contraction Principle. Journal of Scientific Research, 3(3), 539–545. https://doi.org/10.3329/jsr.v3i3.6476

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Section

Section A: Physical and Mathematical Sciences