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? FIXED POINT THEOREM IN MENGER SPACE

机译:? Menger空间中的不动点定理

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摘要

In this paper, we have accomplished the task of generalizing the fixed point theorems due to Som [3], Taskovic [4] Mukherjee [1] in the context of semi-compatibility and weak compatibility in Menger space and also it has been applied to prove common fixed point theorems for three, four and sequence of mappings. A coincidence point theorem is also established for a multi-valued mapping satisfying a generalized condition of Hausdorff distance function in (T, f, x)-orbitally complete Menger space. This theorem is generalized result of Tiwari and Shrivastava [5] and Singh [2].
机译:在本文中,我们完成了在Soner [3],Taskovic [4] Mukherjee [1]的情况下在Menger空间中的半相容性和弱相容性的背景下推广不动点定理的任务,并将其应用于证明三,四和映射序列的公共不动点定理。还为满足(T,f,x)-轨道完整Menger空间中Hausdorff距离函数的广义条件的多值映射建立了重合点定理。该定理是Tiwari和Shrivastava [5]和Singh [2]的广义结果。

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