Common ¯xed point theorems for finite number of mappings without continuity and compatibility on uniformly convex Banach space

Authors

  • Sushil Sharma Vikram University - Department of Mathematics
  • Alok Pande Vikram University - Department of Mathematics
  • Chetna Kothari Vikram University - Department of Mathematics

Keywords:

noncompatible mappings, common fixed points, Banach space, weak compatible mappings

Abstract

The purpose of this paper is to prove some common ¯xed point theorems for finite number of discontinuous, noncompatible mappings on noncomplete uniformly convex Banach space.  Our results extend, generalize several known results of fixed point theory in different spaces.  We give an example and also give formulas for total number of commutativity conditions for finite number of mappings.

Cover of n°29 Italian Journal of Pure and Applied Mathematics

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Published

2012-12-11

How to Cite

Sharma, S., Pande, A., & Kothari, C. (2012). Common ¯xed point theorems for finite number of mappings without continuity and compatibility on uniformly convex Banach space. Italian Journal of Pure and Applied Mathematics, 29, 93–108. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6056

Issue

N°29 - December 2012

Section

Articoli - Forum Editrice

License

Copyright (c) 2012 Sushil Sharma, Alok Pande, Chetna Kothari

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)