• COMMON FIXED POINTS IN NORMED SPACES USING α- PROPERTY VIA WEAKLY-BIASED AND (OWC) MAPS

R. K. VERMA*

Abstract


In this paper, we will prove and show by an Example that, the condition of weakly compatibility (and (owc), as well) implies to weakly S-biased maps and weakly A-biased maps, but not conversely. By using this fact, we will prove two types of fixed point results: part I, for weakly biased maps; and part II, for (owc) maps. The results of part I (Theorem 2.1 and Theorem 2.4) are the generalization of the Theorems of Ciric and Um´e [2], while the result of part II (Theorem 2.7) is the generalization of Theorem 1 of Pathak and Verma [13].


Keywords


Biased maps, binary operation (◊), occasionally weakly compatible (owc) maps, property-α, weakly S-biased maps, weakly compatible mappings.

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