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Open Access Research

Noncommutativity of mappings in hybrid fixed point results

Hemant Kumar Pathak1 and Rosana Rodríguez-López2*

Author Affiliations

1 School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, C.G., 492010, India

2 Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, 15782, Spain

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Boundary Value Problems 2013, 2013:145  doi:10.1186/1687-2770-2013-145

Published: 11 June 2013

Abstract

In this note, some coincidence and common fixed points of nonlinear hybrid mappings have been obtained under certain noncommutativity conditions of mappings. Our results improve several known results in the field of hybrid fixed point theory.

MSC: 54H25, 47H10, 54C60.

Keywords:
coincidence point; fixed point; occasionally coincidentally idempotent; multi-valued mappings