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Existence of common fixed points of generalized almost weakly contractive maps
G. V. R. Babu,P. D. Sailaja 장전수학회 2013 Proceedings of the Jangjeon mathematical society Vol.16 No.1
We introduce the concept of `generalized almost weakly contractivemaps', which include both the class of `generalized weakly contractivemaps' and the class of all maps satisfying `generalized condition (B)',and we prove a common ¯xed point theorem for a pair of selfmapssatisfying generalized almost weakly contractive condition. Thistheorem generalizes the result of Abbas, Babu and Alemayehu [2]. Wealso answer an open question posed by Abbas, Babu and Alemayehu[2] in an a±rmative way.
G. V. R. BABU,P. Subhashini,P. D. Sailaja 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.3
The purpose of this paper is to extend the fixed point results of maps satisfying weak contractivity condition introduced by Bhaskar and Lakshmikantam [T. Gnana Bhaskar and V. Lakshmikantham, Fixed point theorem in partially ordered metric spaces and applications, Non-linear Analysis, 65 (2006), 1379-1393] to the case of contractions with rational expressions in partially ordered metric spaces. Examples are provided in support of our results. Our theorems generalize the results of Bhaskar and Lakshmikantam [2].