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FIXED POINT THEOREM FOR WEAKLY CONTRACTIVE MAPS IN METRICALLY CONVEX SPACES UNDER C-CLASS FUNCTION
Ladlay Khan 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.1
In this paper, we shall prove a fixed point theorem for weakly contractive mappings which satisfies a generalized contraction condition on a complete metrically convex metric spaces by using a function say (C−class function). The result in this paper generalizes the relevant results due to Khan and Imdad [14], Rhoades [16], Alber and Guerre-Delabriere [2] and others.
Ladlay Khan 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.4
Using the idea of weak contractive condition due to Rhoades [17], we prove some coincidence and common fixed point theorems for a pair of non-self mappings which generalize earlier results due to Khan and Imdad [15], Rhoades [17], Alber and Guerre- Delabriere [2], Beg and Abbas [5], Pant [16] and others. An illustrative example is discussed besides an application.