S-COINCIDENCE AND S-COMMON FIXED POINT THEOREMS FOR TWO PAIRS OF SET-VALUED NONCOMPATIBLE MAPPINGS IN METRIC SPACE

Volume 3, Issue 1, pp 55-62 http://dx.doi.org/10.22436/jnsa.003.01.07

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Authors

HONG GANG LI - Institute of Applied Mathematics Research , Chongqing University of Posts and TeleCommunications, Chongqing 400065, China.

Abstract

In this work, the new concepts, normal product of two set-valued mappings, s-weakly compatible, s-common fixed point and the (\(EA_s\)) property for two pairs of set- valued mappings are introduced, and the s-common fixed point existence theorems for two pairs of set-valued noncompatible mappings under strict contractive condition are proved, without appeal to continuity of any map involved therein and completeness of underlying space. The results presented in this paper generalize, improve, and unify some recent results in this field.

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Keywords

• Normal product
• s-coincidence point for two pairs of set-valued mappings
• s- common Fixed Point Theorems
• s-noncompatible
• s-weakly compatible
• (\(EA_s\)) property.

MSC

•  49J40
•  47H06

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