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The main purpose of this paper is to establish a common fixed point theorem for set valued mappings in 2-metric spaces by generalizing a theorem of Abd EL-Monsef et al. (2009) and Murthy and Tas (2009) by using (ϕ,ψ)-weak contraction in view of Greguš type condition for set valued mappings using R-weakly commuting maps

journal of operators

Common Fixed Point Theorems of Greguš Type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>ψ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Weak Contraction for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:math>-Weakly Commuting Mappings in 2-Metric Spaces

Common Fixed Point Theorems of Greguš Type (ϕ,ψ)-Weak Contraction for R-Weakly Commuting Mappings in 2-Metric Spaces