MODIFIED MULTISTEP ITERATION FOR APPROXIMATING A GENERAL CLASS OF FUNCTIONS IN LOCALLY CONVEX SPACES

In this paper, we study the convergence of modi�ed multistep iteration and use the scheme to approximate the �xed point of a general class of functions introduced by Bosede and Rhoades [5] in a complete metrisable locally convex space. As corollaries, the convergence results for SP and Mann iterations are also established. Moreover, most convergence results in Banach spaces are generalized to complete metrisable locally convex spaces. Our convergence results generalize and extend the results of Berinde [2], Olaleru [11], Phuengrattana and Suantai [13], Ra�q [14] among others

FIXED POINT THEOREMS FOR MAPPINGS SATISFYING GENERAL CONTRACTIVE CONDITION OF INTEGRAL TYPE IN G-METRIC SPACES

In this paper, we prove some theorems on fixed and common fixed points for mappings satisfying general contractive condition of integral type in a complete G-metric space. Our results are extensions of the results of Debashis Dey, Anamika Ganguly and Mantu Saha [2] and generalizations of several results in the literature including the results of Branciari [1]

THE STABILITY OF A MODIFIED JUNGCK-MANN HYBRID FIXED POINT ITERATION PROCEDURE

In this paper, we prove some stability results for sequences of nonself mappings using a modified Jungck-Mann hybrid iterative procedure in a Banach space by employing a class of generalized contractive-like defini- tion. As corollaries, some stability results of Jungck (pair of maps) and Picard (single map) iterative procedures are also established. Our stabil- ity results generalize and extend several related results involving pair and single maps in the literature

ON THE CONVERGENCE OF MODIFIED THREE-STEP ITERATION PROCESS FOR GENERALIZED CONTRACTIVE-LIKE OPERATORS

In this paper, we introduce a new Jungck-three step iterative scheme and call it modified three-step iteration process. A strong conver- gence theorem is proved using this iterative process for the class of generalized contractive-like operators introduced by Olatinwo [14] and Bosede [3] respec- tively, in a Banach space. The results obtained in this paper improve and generalize among others, the results of Bosede [3], Olatinwo and Imoru [13], Shaini and Singh [16], Jungck [6] and Berinde [2]

Some new coupled fixed point theorems on partial metric spaces

In this paper, we obtain some new coupled fixed point theorems for mappings satisfying some contractive conditions on complete partial metric space. Our results unify, extend and generalize the results of [3] and [12]

On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive-Like Operators

We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like operators defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa, and Jungck-Noor iterations can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations, and extensions of the work of Olatinwo and Imoru (2008), Olatinwo (2008). Consequently, several results in literature are generalized

THE EQUIVALENCE OF JUNGCK-TYPE ITERATIONS FOR GENERALIZED CONTRACTIVE-LIKE OPERATORS IN A BANACH SPACE

We show that the convergences of Jungck, Jungck- Mann, Jungck-Ishikawa, Jungck-Noor and Jungck-multistep itera- tion processes are equivalent for a class of generalized contractive- like operators defined on a Banach space. Our results are general- izations and extensions of the work of Soltuz [20, 21], Zhiqun [23] and some other numerous ones in literature

COMMON FIXED POINT OF JUNGCK-KIRK-TYPE ITERATIONS FOR NON-SELF OPERATORS IN NORMED LINEAR SPACES

In this paper, we introduce Jungck-Kirk-multistep and Jungck-Kirk-multistep-SP iterative schemes and use their strong convergences to approximate the common fixed point of nonself operators in a normed linear Space. The Jungck-Kirk- Noor, Jungck-Kirk-SP, Jungck-Kirk-Ishikawa, Jungck-Kirk-Mann and Jungck-Kirk iterative schemes follow our results as corollar- ies. We also study and prove stability results of these schemes in a normed linear space. Our results generalize and unify most approximation and stability results in the literature

THE CONVERGENCE OF JUNGCK-TYPE ITERATIVE SCHEMES FOR GENERALIZED CONTRACTIVE-LIKE OPERATORS

We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fxed point of a pair of weakly compatible generalized contractive-like opera-tors defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa and Jungck-Noor itera- tions can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations and ex- tensions of the work of Olatinwo and Imoru [13], Olatinwo [14-15]. Consequently, several results in literature are generalized