[PDF] Top 20 Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications

... contraction mappings in probabilistic metric spaces (PM- spaces) which is an important step in the development of fixed point ...of weakly commuting [46], compatible [33], ... See full document

... X., “Common Fixed Point Theorems of Compatible and Weakly Compatible Maps in Menger Spaces.” Non Linear Analysis Theory, Methods & Applications Vol.71, (2009), 1833-1843.. Jungck, G[r] ... See full document

... “A Fixed Point Theorem in Menger Space through Weak Compatibility,” Journal of Mathe- matical Analysis and Applications, ...“Common Fixed Point Theorems of Compati- ... See full document

... B.E.,: Common Fixed Point Theorems for Hybrid pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Intregal type .... ... See full document

... The fixed point theory has become a part of non-linear functional analysis since ...1928, Menger[17] introduced semi-metric space as a generalization of metric ...first fixed point ... See full document

... equivalently weakly compatible if they commute at their coincidence ...in fixed-point theorems by introducing the notion of weak commuting maps in metric ...to compatible maps. ... See full document

... single-valued mappings [] was extended in [] to the setting of a single-valued mapping and a multi-valued mapping on a metric ...viz weakly commuting [], compatible [], weakly ... See full document

... {G, J} is not a δ-compatible pair. We know that 1/2 is the unique common fixed point of I, J, F and G. Hence the hypotheses of Theorem 2.1 are satisfied. Theorem 1.10 is not applicable because ... See full document

... In , Zadeh [] introduced the concept of fuzzy sets. Then many authors gave the im- portant contribution to development of the theory of fuzzy sets and applications. George and Veeramani [, ] gave the ... See full document

... self mappings of a fuzzy metric space X, M, ∗ such that the mappings A and B are a generalized fuzzy contraction with respect to mappings S and ...the common property ...a point of ... See full document

... equivalently weakly compatible if they commute at their coincidence ...in fixed-point theorems by introducing the notion of weak commuting maps in metric ...to compatible maps. ... See full document

... that occasionally weakly compatible mappings are not weakly com- ...self mappings (A, P) and (B, Q) are commuting and the mappings A, B, S, T, P and Q have unique ... See full document

... The famous Banach contraction principle states that if , is a complete metric space and : → a contraction mapping i.e., , , for all , ∈ , where is a nonnegative number such that 1, then has a unique fixed ... See full document

... In this section we prove some common fixed point theorems by using seven compatible mappings in complete Menger spaces.. In fact we prove following results..[r] ... See full document

... Then by Lemma 2, we have Qv = z. Since ABILv = z, we have Qv = z ABILv, that is v is coincidence point of Q and ABIL. This proves (ii). The remaining two cases pertain essentially to the previous cases. Indeed if ... See full document

... metric spaces generated by F- modular and developed the theory of this ...metric spaces generated by modular such that called the modular metric ...metric spaces and proved fixed point ... See full document

... different spaces by mathematicians over the ...b-metric spaces. In the sequel, several papers have been published on the fixed point theory in b- metric spaces (see, ...type ... See full document

... contraction fixed point to the setting of symmetric ...a fixed point theorem for generalized contractions under restrictive conditions in symmetric ...some fixed point ... See full document

... metric spaces being a natural generalization of classical modulars over linear spaces Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently ... See full document

... proved common fixed point theorem for self maps in intuitionistic fuzzy metric ...some common fixed point theorems for more general commutative condition ...i.e. ... See full document