Common fixed points under Lipschitz type condition

Authors

  • Vyomesh Pant Department of Mathematics Kumaon University, D.S.B. Campus Nainital

DOI:

https://doi.org/10.3126/kuset.v7i1.5424

Keywords:

Lipschitz type mapping pairs, nonexpansive conditions, noncompatible mappings, Pointwise R-weak commutativity, contractive conditions.

Abstract

The present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or continuity of the mappings involved.

Mathematics Subject Classification: 54 H 25.

Key Words and Phrases: Lipschitz type mapping pairs, nonexpansive conditions, noncompatible mappings, Pointwise R-weak commutativity, contractive conditions.

DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5424

KUSET 2011; 7(1): 74-78

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How to Cite

Pant, V. (2011). Common fixed points under Lipschitz type condition. Kathmandu University Journal of Science, Engineering and Technology, 7(1), 74–78. https://doi.org/10.3126/kuset.v7i1.5424

Issue

Vol. 7 No. 1 (2011)

Section

Original Research Articles

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