Fixed points of $(\psi‎, ‎\phi)$-weak contractions in cone metric spaces

Fixed Point Theory in Metric Type Spaces

“…1 It was called metric first by F. Hausdorff [92]. 1 It was called metric first by F. Hausdorff [92].…”

“…Since fa n g ! Repeating this process N times, we can find N subsequences fa 1 .n/ g n2N , fa 2 .n/ g n2N , : : :, fa n .n/ g n2N (where D n : : : 1 ) such that fa i .n/ g n2N ! Similarly, as fc n g !…”

“…L, there exists n 1 2 N such that ja n Lj Ä " for all n n 1 . Note fb .n/ g n2N D fmax.a 1 .n/ ; : : : ; a N .n/ /g n2N ! L, there exists n 2 2 N such that jc n Lj Ä " for all n n 2 .…”

Fixed Point Results and its Applications to the Systems of Non-linear Integral and Differential Equations of Arbitrary Order

“…One of these is (ψ, φ)-weak contraction (see [6,8,10,18,19,23]). Aage and Salunke [1] proved the following result for weak contraction in G-metric space. Theorem 1.3.…”

A fixed point theorem in generalized ordered metric spaces with application

“…Some authors [2,14,16,26] have proved some fixed point theorems in these spaces. Aage [1], proved a fixed point theorem for weak contraction in G-metric space. Recently, Saadati et al [25], using the concept of G-metric, defined an Ω-distance on complete G-metric space and generalized the concept of ω-distance due to Kada et al [12].…”