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TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTION

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In this paper, we introduce the concept of w¡compatibility and weaklycommutativity for hybrid pair of mappings F : X £ X £ X ! 2X and g : X ! Xand establish a common tripled ¯xed point theorem under generalized nonlinearcontraction. An example is also given to validate our result. We improve, extendand generalize various known results.

Abstract

In this paper, we introduce the concept of w¡compatibility and weaklycommutativity for hybrid pair of mappings F : X £ X £ X ! 2X and g : X ! Xand establish a common tripled ¯xed point theorem under generalized nonlinearcontraction. An example is also given to validate our result. We improve, extendand generalize various known results.

참고문헌 (27)

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  22. V. Lakshmikantham, "Coupled fixed point theorems for nonlinear contrac-tions in partially ordered metric spaces", Nonlinear Analysis: Theory, Method and Ap-plications, 70(12), pp.4341~4349 (2009)
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  27. S. Sharma, "Common fixed point theorems for hybrid pairs of mappings with some weaker conditions", Fasciculi Mathematici, 39, pp.71~84 (2008)

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